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    "153804-21916357":
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        "datetime_modified":"20261019T004629",
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        "has_end_time":1,
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        "date_end":"2026-10-21",
        "time_start":"12:00:00",
        "time_end":"01:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"Math Biology Working Group: Topological Data Analysis and Applications for Biology",
        "occurrence_title":"",
        "combined_title":"Math Biology Working Group: Topological Data Analysis and Applications for Biology: Dr. Halley Fritze",
        "event_subtitle":"Dr. Halley Fritze",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Topological data analysis (TDA) is a field which combines topology, geometry, statistics, and computer science to answer questions about data through shape analysis. Taking from algebraic topology, for any given data set, one can construct simplicial complexes and compute topological invariants. In this talk, I plan to give an overview of the tools commonly used in TDA and talk about some of my favorite applications including in cancer research, neuroscience, and population biology. If there is enough time I will also talk about useful software that exists for you to apply these tools too!",
        "occurrence_notes":null,
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        "building_name":"Undergraduate Science Building",
        "campus_maps_id":"508",
        "room":"1570",
        "location_name":"Undergraduate Science Building",
        "has_livestream":0,
        "cost":"",
        "tags":["Biology","Biosciences","Complex Systems","Life Science","Mathematical Biology"],
        "website":"",
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    {
        "datetime_modified":"20261016T103053",
        "datetime_start":"20261021T143000",
        "datetime_end":"20261021T153000",
        "has_end_time":1,
        "date_start":"2026-10-21",
        "date_end":"2026-10-21",
        "time_start":"14:30:00",
        "time_end":"15:30:00",
        "time_zone":"America\/Detroit",
        "event_title":"Student Number Theory: What are parahoric subgroups?",
        "occurrence_title":"",
        "combined_title":"Student Number Theory: What are parahoric subgroups?: Ram Ekstrom",
        "event_subtitle":"Ram Ekstrom",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"In this talk, we will motivate why the parahoric subgroups of a connected reductive group over a nonarchimedean local field are defined the way they are. We will of course supply several examples and say a few things about Bruhat--Tits buildings and integral models.",
        "occurrence_notes":null,
                "guid":"153764-21916287@events.umich.edu",
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        "datetime_modified":"20261015T145608",
        "datetime_start":"20261021T153000",
        "datetime_end":"20261021T165000",
        "has_end_time":1,
        "date_start":"2026-10-21",
        "date_end":"2026-10-21",
        "time_start":"15:30:00",
        "time_end":"16:50:00",
        "time_zone":"America\/Detroit",
        "event_title":"Algebraic Geometry Seminar: From stability conditions to generalized Bogomolov-Gieseker inequalities",
        "occurrence_title":"",
        "combined_title":"Algebraic Geometry Seminar: From stability conditions to generalized Bogomolov-Gieseker inequalities: Xiaolei Zhao (UC Santa Barbara)",
        "event_subtitle":"Xiaolei Zhao (UC Santa Barbara)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"The classical Bogomolov-Gieseker inequality provides a bound on the second Chern character of semistable sheaves, which is an essential ingredient in the construction of stability conditions on surfaces. Generalizing this, Bayer-Macr\u00ec-Toda proposed to use a conjectural ch_3 inequality for tilt stable objects to construct stability conditions on threefolds. This inequality found many applications ranging from counting invariants to linear series, but people were only able to prove it in special cases.\n\nThe recent breakthrough of Chunyi Li provides a different route to construct stability conditions over any projective variety. In my talk, I will recall this beautiful idea, and explain that, via an enhancement of Li\u2019s construction together with some reverse-engineering, we can produce a series of inequalities on any Chern characters for suitable objects on any variety, with Bogomolov-Gieseker and Bayer-Macr\u00ec-Toda as the first two instances. This is based on joint work in progress with Chunyi Li, Zhiyu Liu and Benjamin Sung.\n\nIf time permits, I will also discuss a strengthen of this result for ch_3 inequality using Frobenius method, based on joint work with Chunyi Li, Zhiyu Liu and Alex Perry. Parts of these projects are AI-assisted, which will be explained in the talk.",
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        "datetime_start":"20261021T160000",
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        "has_end_time":1,
        "date_start":"2026-10-21",
        "date_end":"2026-10-21",
        "time_start":"16:00:00",
        "time_end":"17:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"Probability and Analysis Seminar: Small Moments of the Sensitivity of Polynomial Threshold Functions",
        "occurrence_title":"",
        "combined_title":"Probability and Analysis Seminar: Small Moments of the Sensitivity of Polynomial Threshold Functions: Chun-Kai Tseng",
        "event_subtitle":"Chun-Kai Tseng",
        "event_type":"Lecture \/ Discussion",
        "event_type_id":"13",
        "description":"Abstract: Polynomial threshold functions (PTFs) are a central class of Boolean functions with important roles in learning theory and approximation. A fundamental question is to understand the complexity of their behavior under small perturbations of the input. On the Boolean cube, this is captured by notions such as sensitivity, average sensitivity, and Boolean surface area. In this talk, we revisit a recursive approach used to derive bounds for the average sensitivity and Boolean surface area of PTFs and obtain a polylogarithmic bound for small moments of their sensitivity. We will also explore the interplay between Fourier expansion and induction on scales from harmonic analysis, random averaging from probability, and decision trees and regularization from combinatorics.",
        "occurrence_notes":null,
                "guid":"153329-21915644@events.umich.edu",
        "permalink":"http:\/\/events.umich.edu\/event\/153329",
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        "campus_maps_id":"53",
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        "location_name":"East Hall",
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        "tags":["Mathematics"],
        "website":"https:\/\/sites.google.com\/view\/probsemumich\/future-talks",
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    {
        "datetime_modified":"20261006T181240",
        "datetime_start":"20261021T160000",
        "datetime_end":"20261021T170000",
        "has_end_time":1,
        "date_start":"2026-10-21",
        "date_end":"2026-10-21",
        "time_start":"16:00:00",
        "time_end":"17:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"Stochastic Models and Optimization for Dynamic Portfolio Management: A Compartment Framework for Financial Growth and Decision Support",
        "occurrence_title":"",
        "combined_title":"Stochastic Models and Optimization for Dynamic Portfolio Management: A Compartment Framework for Financial Growth and Decision Support: Tirupathi Rao Padi (Pondicherry University)",
        "event_subtitle":"Tirupathi Rao Padi (Pondicherry University)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Portfolio management is a dynamic decision-making problem characterized by uncertainty, evolving asset states, competing risk\u2013return objectives, and changing market conditions. This research develops an integrated stochastic and optimization framework for modelling financial growth and formulating investment policies by representing a portfolio as a dynamic compartmental system in which risky and non-risky assets undergo stochastic growth, loss, transformation, and migration. Univariate and bivariate birth\u2013death and migration processes, together with Markov and hidden-state modelling perspectives, are employed to characterize the probabilistic evolution and interactions of portfolio components.\n\nThe proposed framework systematically connects stochastic process modelling, probability analysis, statistical inference, nonlinear optimization, computational analysis, and decision support. Difference and differential equations are developed to describe portfolio dynamics, while probability-generating functions and moment-based methods are used to derive expectations, variances, covariances, and related measures under transient and steady-state conditions. These statistical characteristics subsequently serve as inputs to stochastic optimization models that address alternative investment objectives, including risk control, volatility management, portfolio diversification, and the determination of appropriate investment policy parameters.\n\nComputational experimentation and sensitivity analysis are incorporated to examine the effects of growth, loss, and transformation parameters on portfolio behavior, using real-world financial data to ground empirical exploration and model validation. The resulting framework provides a pathway from uncertainty modelling to quantitative risk assessment, prescriptive optimization, and intelligent decision support. The research is intended to stimulate interdisciplinary collaboration across Statistics, Stochastic Processes, Mathematical Finance, Operations Research, Optimization, Data Science, and Computational Modelling, with potential applications in real-data validation, software development, joint publications, and future research on scalable stochastic decision-support systems for contemporary financial management.",
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                "guid":"153381-21915734@events.umich.edu",
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        "campus_maps_id":"53",
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    {
        "datetime_modified":"20261019T125135",
        "datetime_start":"20261021T160000",
        "datetime_end":"20261021T170000",
        "has_end_time":1,
        "date_start":"2026-10-21",
        "date_end":"2026-10-21",
        "time_start":"16:00:00",
        "time_end":"17:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"Student AIM Seminar:  Asymptotics of Stokes flow in slightly curved and slender cylindrical channels",
        "occurrence_title":"",
        "combined_title":"Student AIM Seminar:  Asymptotics of Stokes flow in slightly curved and slender cylindrical channels: Choco Li",
        "event_subtitle":"Choco Li",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Flow through a network of interconnected channels creates ill-conditioned problems due to the multiply connected topology. Boundary integral equation methods are generally good tools in solving fluid problems by reducing degrees of freedom, but it is less ideal to handle this ill-conditioning due to its non-local representation. A scattering theory has been proposed to address this in 2D by approximating branches in a network as straight channels, in which the solution flow follow a \"rapid return to Poiseuille flow\" under pressure drop and no-slip wall condition [Wang 2026]. In this talk we will consider the applicability of this approximation in 3D by looking at the asymptotic problems of two specific cases of Stokes flow: when the cylinder is slightly curved (the Dean problem) and when the radius of the cylinder becomes exceedingly thin.\n\nReference: Haiyang Wang, Fredrik Fryklund, Samuel Potter, and Leslie Greengard. Scattering theory for stokes flow in complex branched structures. Journal of Computational Physics, 564:115148, 2026.",
        "occurrence_notes":null,
                "guid":"153830-21916417@events.umich.edu",
        "permalink":"http:\/\/events.umich.edu\/event\/153830",
        "building_id":"1000166",
        "building_name":"East Hall",
        "campus_maps_id":"53",
        "room":"3088",
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        "tags":["Applied Mathematics"],
        "website":"https:\/\/sites.google.com\/umich.edu\/umich-siamstudentchapter\/home?authuser=0",
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        "datetime_modified":"20261017T205653",
        "datetime_start":"20261022T160000",
        "datetime_end":"20261022T170000",
        "has_end_time":1,
        "date_start":"2026-10-22",
        "date_end":"2026-10-22",
        "time_start":"16:00:00",
        "time_end":"17:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"DE Seminar: The Guderley Problem: Existence of Self-Similar Shock Solutions",
        "occurrence_title":"",
        "combined_title":"DE Seminar: The Guderley Problem: Existence of Self-Similar Shock Solutions: Jiaqi Liu, Umich",
        "event_subtitle":"Jiaqi Liu, Umich",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Dating back to Guderley\u2019s pioneering work in 1942, the Guderley problem is a classical problem in compressible fluid dynamics describing the implosion and subsequent reflection of a strong spherical shock wave. An initially converging shock propagates toward the origin, strengthens as it collapses, and eventually develops a singularity. After the collapse, an outgoing shock emerges and propagates outward.\n\nIn this talk, I will present our rigorous construction of self-similar converging and diverging shock solutions for the adiabatic exponent $\\gamma\\in(1,3]$. These solutions are analytic away from the shock interfaces and the blow-up point. The proof relies on continuity arguments, nonlinear invariances, and barrier functions.",
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        "campus_maps_id":"53",
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        "datetime_start":"20261022T160000",
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        "has_end_time":1,
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        "time_start":"16:00:00",
        "time_end":"17:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"Preprint Algebraic Geometry seminar: Trim resolutions, stringy and Mather classes, and IC characteristic cycles, after Aluffi",
        "occurrence_title":"",
        "combined_title":"Preprint Algebraic Geometry seminar: Trim resolutions, stringy and Mather classes, and IC characteristic cycles, after Aluffi: Zhi Zheng (UM)",
        "event_subtitle":"Zhi Zheng (UM)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"TBA",
        "occurrence_notes":null,
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        "room":"4096",
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    {
        "datetime_modified":"20261014T095112",
        "datetime_start":"20261023T150000",
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        "has_end_time":1,
        "date_start":"2026-10-23",
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        "time_start":"15:00:00",
        "time_end":"16:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"AIM Seminar: How voting goes wrong, and how it can go right: the evolution of collective intelligence",
        "occurrence_title":"",
        "combined_title":"AIM Seminar: How voting goes wrong, and how it can go right: the evolution of collective intelligence: Joshua B. Plotkin (University of Pennsylvania)",
        "event_subtitle":"Joshua B. Plotkin (University of Pennsylvania)",
        "event_type":"Lecture \/ Discussion",
        "event_type_id":"13",
        "description":"Abstract: Voting sometimes works well. A crowd's average guess is often better than any individual guess. But voting can also fail, producing a biased outcome or no decision at all. I will discuss natural mechanisms that cause each of these outcomes, in groups whose members observe other voters and learn by imitating one another.\n\nI will first describe a voter game, played online by 2,520 people, in which two parties of equal size compete to reach a supermajority. The structure of who sees whose voting intentions, which we call information gerrymandering, can bias the outcome toward one party, even when both parties are the same size and every player has the same influence. When members of both parties see mainly their own party's intentions, most groups end in deadlock.\n\nI will then ask what individual reward scheme allows a population of self-interested imitators, each observing only part of a problem, to evolve accurate collective decisions. For linear prediction problems, rewarding individuals for their own accuracy eliminates the diversity of opinions a group needs. Rewarding those whose opinions reduce the collective error provably increases accuracy, until the group predicts perfectly. For more realistic non-linear decisions, a single majority vote cannot produce accurate decisions under any reward scheme. Voting in layers, with rewards paid only to individuals who are pivotal at every layer above them, provably allows a population to evolve accurate decisions. The evolved population is equivalent to a multi-layer perceptron in machine learning, and the reward for pivotality corresponds to credit assignment that machines compute through backpropagation. These results therefore provide a naturalistic, evolutionary account of collective in intelligence in humans and machines.\n\nContact: Naoki Masuda",
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        "datetime_modified":"20261019T150024",
        "datetime_start":"20261023T150000",
        "datetime_end":"20261023T160000",
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        "date_end":"2026-10-23",
        "time_start":"15:00:00",
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        "time_zone":"America\/Detroit",
        "event_title":"Unexpected torus action on toric Richardson varieties",
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        "combined_title":"Unexpected torus action on toric Richardson varieties: Soyeon Kim (UC Davis)",
        "event_subtitle":"Soyeon Kim (UC Davis)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"This talk focuses on Richardson varieties in the complete flag variety, which are intersections of a Schubert variety with an opposite Schubert variety. Richardson varieties are indexed by intervals in the Bruhat order on the symmetric group. In joint work with E. Gorsky and M. Sherman-Bennett, we study the following question: when is a Richardson variety a toric variety? All Richardson varieties admit an action by an (n-1)- dimensional torus in SL_n, called the standard torus, which also acts on the complete flag variety. The Richardson varieties which are toric varieties with respect to the standard torus were classified independently by Anderson and Tsukerman--Williams. We found that there are many additional toric Richardson varieties, which we call \"unexpected\u201d. In this rather expository talk, I will classify toric Richardson varieties using the combinatorics of Bruhat intervals and focus on describing this \"unexpected\" torus action using the Marsh--Rietsch parametrization on open Richardson varieties. If time permits, I will mention my ongoing research in this direction.",
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        "datetime_modified":"20261018T201004",
        "datetime_start":"20261023T160000",
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        "date_start":"2026-10-23",
        "date_end":"2026-10-23",
        "time_start":"16:00:00",
        "time_end":"17:00:00",
        "time_zone":"America\/Detroit",
        "event_title":"How mathematics can contribute to AI safety research",
        "occurrence_title":"",
        "combined_title":"How mathematics can contribute to AI safety research: Jacob Tsimerman",
        "event_subtitle":"Jacob Tsimerman",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Contrary to most modern mathematics, the field of AI safety sits on less well-developed theoretical foundations, and as such can feel more sporadic and hard to orient around. I will try to describe how I currently think about AI safety, what kind of work is being done, and why I believe mathematicians can (and should!) help.",
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        "datetime_modified":"20260929T150501",
        "datetime_start":"20261026T160000",
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        "event_title":"Long time asymptotics of the generalized soliton gas for the mKdV equation",
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        "combined_title":"Long time asymptotics of the generalized soliton gas for the mKdV equation: Manuela Girotti (Emory University)",
        "event_subtitle":"Manuela Girotti (Emory University)",
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        "event_type_id":"24",
        "description":"We analyze a new class of solutions of the modified KdV equation introduced by Dyachenko, Zakharov, and Zakharov, and which can be interpreted as a soliton gas.  These solutions are characterized by a Riemann-Hilbert problem which arises as the limit $N\\to \\infty$ of a sequence of $2N$-soliton RH problems, where the solitons display two different triangularity in the jumps. The limiting RH problem belongs to a novel class of problems, where the jump matrices do not have any zero entry (as opposed to the classical upper\/lower triangular setting).\n We show that the initial profile of such a gas solution is approaching a cnoidal wave solution for $x\\to \\pm \\infty$ with different phase shifts, and we establish an asymptotic description of the gas of solitons for large times that is valid over the entire spatial domain, in terms of Jacobi elliptic functions, with slowly modulated phase shifts as time varies from $-\\infty$ to $+\\infty$.\nThis is a joint work with Ken McLaughlin (Tulane U.) and Robert Jenkins (UCF).\n\n*To request access to the Zoom room, please contact Nathan Hayford at nhayford [ at ] umich.edu.*",
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        "time_zone":"America\/Detroit",
        "event_title":"GLNT: Analytic approaches to factorization of singular moduli",
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        "combined_title":"GLNT: Analytic approaches to factorization of singular moduli: Yingkun Li (Wisconsin)",
        "event_subtitle":"Yingkun Li (Wisconsin)",
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        "event_type_id":"21",
        "description":"Abstract: In the 1980s, Gross and Zagier proved factorization formula for norm of difference of singular moduli, on their way to the Gross-Zagier formula. In that work, there were two approaches, one algebraic and one analytic. It turns out that the algebraic approach could produce factorization before taking the norm, whereas the analytic approach could not. In this talk, I will report on-going work with Mike Daas, where we aim to remove the norm through a p-adic analytic approach in the case of Shimura curves.",
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        "datetime_modified":"20260923T090325",
        "datetime_start":"20261027T160000",
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        "has_end_time":1,
        "date_start":"2026-10-27",
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        "time_zone":"America\/Detroit",
        "event_title":"Colloquium: How to achieve quantum advantage?",
        "occurrence_title":"",
        "combined_title":"Colloquium: How to achieve quantum advantage?: Lin Lin, Caltech",
        "event_subtitle":"Lin Lin, Caltech",
        "event_type":"Lecture \/ Discussion",
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        "description":"The development of error-corrected quantum computers raises the prospect of quantum advantages in scientific computation. Which problems are likely to benefit, and what will it take to realize these advantages? I will first discuss basic quantum algorithm concepts and some criteria for comparing quantum and classical computation. I will then focus on eigenvalue problems, where improving the precision of an approximate solution offers one possible route to quantum advantage. Recent advances allow quantum eigensolvers to use few auxiliary qubits and short coherent evolutions, with near-optimal dependence on the target precision. I will introduce these developments and a method for estimating multiple eigenvalues together with their multiplicities. Most of the presentation is intended to be accessible to a broad mathematical audience without prior background in quantum computation.",
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        "event_title":"Policy Gradient Flow for Stochastic Control",
        "occurrence_title":"",
        "combined_title":"Policy Gradient Flow for Stochastic Control: Zhenjie Ren, University of Evry",
        "event_subtitle":"Zhenjie Ren, University of Evry",
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        "description":"Reinforcement learning has achieved remarkable success in landmark applications such as AlphaGo and AlphaFold, and is increasingly expected to play a central role in emerging domains such as autonomous driving. A substantial body of work has established theoretical foundations for classical reinforcement learning algorithms, including temporal-difference learning, policy iteration, and Q-learning. By contrast, policy gradient descent, despite its widespread use, remains less well understood from a theoretical perspective, largely because of its non-convex structure and the complexity of the underlying functional space. Existing convergence analyses typically require uniform regularity assumptions on the policy, viewed as a feedback control function, along the gradient flow; moreover, the resulting convergence rates depend on these regularity bounds. In this work, we significantly strengthen the existing convergence theory. Our key insight is to relate policy gradient descent to a mirror flow on the space of probability measures over controlled trajectories, where the Bregman divergence is induced by the convex control cost. We rigorously prove a JKO-type convergence result showing that the discrete-time mirror flow converges to its continuous-time counterpart, and we identify the limiting dynamics as a preconditioned policy gradient descent flow on the space of control processes. Leveraging this mirror-flow perspective, we establish an exponential convergence rate that is independent of policy regularity. The convergence holds both in Bregman divergence and in the value of the associated control problem.",
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        "time_zone":"America\/Detroit",
        "event_title":"RTG SEMINAR: Geometry, Topology, Dynamics     TBA",
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        "combined_title":"RTG SEMINAR: Geometry, Topology, Dynamics     TBA: Srivastav Kunnawalkam Ellayavalli (Berkeley)",
        "event_subtitle":"Srivastav Kunnawalkam Ellayavalli (Berkeley)",
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        "datetime_modified":"20261017T184842",
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        "time_zone":"America\/Detroit",
        "event_title":"Probability and Analysis Seminar: Conformal removability and bubble connectivity of non-simple SLE",
        "occurrence_title":"",
        "combined_title":"Probability and Analysis Seminar: Conformal removability and bubble connectivity of non-simple SLE: Haoyu Liu (PKU\/MIT)",
        "event_subtitle":"Haoyu Liu (PKU\/MIT)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Schramm-Loewner evolution (SLE_\\kappa) is a one-parameter family of random fractal curves arising as scaling limits of interfaces in two-dimensional statistical mechanics models. For \\kappa \\in (4, 8), the SLE_\\kappa curve is self-intersecting but not space-filling, forming complementary connected components known as bubbles. In this talk, I will discuss the relationship between the conformal removability of SLE traces and connectivity of the bubble adjacency graph, as well as a sharp phase transition as \\kappa varies. Joint work with Zijie Zhuang (UNIGE).",
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        "has_livestream":0,
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        "website":"https:\/\/sites.google.com\/view\/probsemumich\/future-talks",
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        "datetime_start":"20261030T040000",
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        "date_start":"2026-10-30",
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        "event_title":"Topology seminar: Tight surgeries on torus knots",
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        "combined_title":"Topology seminar: Tight surgeries on torus knots: Konstantinos Varvarezos (UGA)",
        "event_subtitle":"Konstantinos Varvarezos (UGA)",
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        "event_type_id":"21",
        "description":"Abstract: We give a complete classification of tight contact structures on every surgery along torus knots, which provides the first such classification on an infinite family of non-trivial knots and makes progress on the project of understanding tight contact structures on Seifert fibered spaces. The main tools are the classification of non-loose torus knots, bordered contact invariants, and non-thickenable tori in knot complements. In this talk, we will discuss the role played by recently developed connections between Heegaard Floer invariants and contact geometry in the classification.",
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        "datetime_modified":"20260922T120244",
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        "event_title":"AIM Seminar: Programmable Collective Dynamics in Active Matter and Robot Swarms",
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        "combined_title":"AIM Seminar: Programmable Collective Dynamics in Active Matter and Robot Swarms: Steven Ceron (UM Robotics)",
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        "description":"Abstract:  Collective systems are able to exhibit complex global dynamics through relatively simple local interactions, and they give us a powerful connection between nonequilibrium physics, active matter, and robotics. In this talk, I will present our work on understanding and controlling collective behavior across theoretical and experimental systems. I will first discuss experimental work involving magnetic microrobot collectives in which competing pairwise interactions enable reconfiguration between distinct states, locomotion, and environmental interactions. And when heterogeneity and asymmetric interactions are introduced, they can be used to program self-organization and generate various collective behaviors that include phase separation, morphology changes, and object manipulation. At the more theoretical level, I will discuss swarmalators, which are agents that simultaneously swarm and synchronize, and I will show how chirality, heterogeneity, multiple internal phases, and nonreciprocal interactions can enable fascinating and non-intuitive collective states, as well as be exploited to systematically control the collective to exhibit desired shape formation, navigation, and object manipulation, such that principles from active matter can be used for programmable collective robotic systems.\n\n\nContact:  Silas Alben",
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        "event_title":"Zamolodchikov Periodic Cluster Algebras",
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        "combined_title":"Zamolodchikov Periodic Cluster Algebras: Ariana Chin (UCLA)",
        "event_subtitle":"Ariana Chin (UCLA)",
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        "description":"In 2007, Fomin and Zelevinsky introduced the bipartite belt, a sequence of bipartite cluster mutations whose exchange relations form a discrete dynamical system. When the system is periodic, we call this Zamolodchikov periodicity. In this talk, we discuss the classification of all Zamolodchikov periodic cluster algebras, with connections to W-graphs, root systems, and maximal green sequences. We observe that there is a natural red-blue statistic on the associated tropical dynamics that is homomesic, and use laminations to prove it for finite type. This gives a natural bijection between colored mutations in the dynamical system and roots in the associated root system.",
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        "event_title":"Dynamics seminar",
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        "event_title":"ISRMT Seminar: Title TBA",
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        "time_zone":"America\/Detroit",
        "event_title":"Colloquium: Heat, wave, and Schr\u00f6dinger dynamics of Gibbs measures",
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        "description":"Gibbs measures were first introduced in statistical mechanics, where they have been used to describe statistical equilibria of physical systems. In recent years, there has been significant interest in the dynamics of Gibbs measures under heat, wave, and Schr\u00f6dinger equations. In the first part of the talk, we will discuss the invariance of Gibbs measures under the cubic nonlinear wave equation. In the second part of the talk, we will then discuss the global well-posedness of the stochastic Yang--Mills heat flow. \n\nThe talk is based on joint works with Y. Deng, A. Nahmod, and H. Yue, and separately with S. Cao, M. Hairer, and W. Zhao.",
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        "event_title":"Exploratory Optimal Reinsurance under the Mean-Variance Criterion",
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        "description":"This paper proposes a Reinforcement Learning (RL) approach to the optimal reinsurance problem\nwhen the insurer faces uncertainty about the insurance claim dynamics. To this end, we first formulate\nan exploratory version of the problem as a relaxed stochastic control problem. Within a broad class of\nparametric retention functions and general risk loading functions, we derive the closed-form equilibrium\npolicy under the continuous-time mean-variance criterion. This is achieved through a formal verification\ntheorem and solving classical solutions of a system of exploratory extended Hamilton-Jacobi-Bellman\n(EEHJB) equations. We then establish a policy iteration theorem, showing that starting from any timeand state-homogeneous policy, policy iteration converges to the derived equilibrium policy. Next, we\ndevelop a martingale orthogonality theorem, which serves as the foundation of our RL algorithm. The\nalgorithm is evaluated through simulation studies and real data from the U.S. National Flood Insurance\nProgram. Results demonstrate that the RL approach effectively learns unknown claim distributions,\ntracks unobserved changes in claim dynamics and produces higher insurer surplus trajectories than the\nmaximum likelihood estimation (MLE) approach while simultaneously exhibiting greater robustness to\nthe choice of training window.",
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        "description":"Abstract: Let L be a lattice in R^n. Suppose that L has the property that the determinant of every\nnon-zero sublattice L' of L is larger than one. We prove that there exists a symmetric random vector X on R^n\nwith a smooth, strictly positive density f on R^n simultaneously enjoying the following two properties: \n\na) f is strongly log-concave.\nb) X + L is uniform on R^n\/L.\n\nMoreover, the existence of such a density f on R^n characterizes this determinant condition imposed on L. This construction connects several problems \nin lattice theory to established results in convex geometry. We discuss a range of applications. This is joint work with Victor Reis and Thomas Rothvoss.",
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        "description":"Given a circle action S on a projective variety X, we introduce the \"stable map quotient\" using Kontsevich's space of stable maps of curves. In the case that X is a Richardson variety (the intersection of a Schubert with an opposite Schubert variety), generally very singular, the quotient is nonetheless smooth! I'll use this to give a log resolution of Richardson varieties, and describe the dual simplicial complex to the anticanonical sncd boundary.",
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        "event_title":"A New Approach for the Continuous Time Kyle-Back Strategic Insider Equilibrium Problem",
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        "combined_title":"A New Approach for the Continuous Time Kyle-Back Strategic Insider Equilibrium Problem: Bixing Qiao, UM",
        "event_subtitle":"Bixing Qiao, UM",
        "event_type":"Workshop \/ Seminar",
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        "description":"In this talk, we consider a continuous-time Kyle-Back model which is a game between an insider and a market maker. The existing literature typically focuses on constructing equilibria with a PDE approach, which requires certain Markovian structures. We characterize all equilibria through a coupled system of forward-backward SDEs. In particular, when the time duration is small, we show that the FBSDE is well-posed, and therefore the game has a unique equilibrium. Moreover, this unique equilibrium may be non-Markovian and thus not attainable via the PDE approach. We next study the set value of the game, which roughly speaking is the set of insider's values over all equilibria and thus is by nature unique. Finally, we characterize the set value through a level set of a certain standard HJB equation.\nIn the second part of the talk, we apply the new approach to the Kyle-Back model with dynamic legal risk and large numbers of noise traders. In this setting, the insider chooses a strategy that conceals his identity within a large volume of surrounding trades and concentrates on medium-sized trades.  We establish an intensity-based mathematical framework for explaining the interconnections between insider trading and stealth trading. When the number of noise traders becomes large, the price impact of the insider asymptotically vanishes, and consequently the stochastic game becomes deterministic optimizations, which also carry implications for regulatory investigations and sanctions.\n\nThe results above include the joint work with Weixuan Xia and with Jianfeng Zhang.",
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        "event_title":"Preprint Algebraic Geometry seminar: Optimal bounds in bend-and-break, after Jovinelly, Lehmann, and Riedl",
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        "event_title":"Topology seminar: TBA",
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        "description":"Abstract:  TBA\n\nContact:  Zhiyan Ding",
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        "time_zone":"America\/Detroit",
        "event_title":"TBA (Poesia)",
        "occurrence_title":"",
        "combined_title":"TBA (Poesia): Gabriel Poesia",
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        "event_title":"Dynamics seminar: Arithmetic polyhedra",
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        "combined_title":"Dynamics seminar: Arithmetic polyhedra: Daniel Allcock, U(T) Austin",
        "event_subtitle":"Daniel Allcock, U(T) Austin",
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        "description":"The Koebe-Andreev-Thurston construction associated to every combinatorial 3d polyhedron is a canonical 3d hyperbolic polyhedron, which happens to be right-angled and ideal.  In particular, it is the fundamental domain for the Coxeter group generated by the reflections across its facets.  We answer the question: when is this group arithmetic? (Joint work with Pat Devlin, Anna Felikson, Alex Kontorovich and Ian Whitehead)",
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        "description":"Inverse problems are ubiquitous. Traditionally, the goal is to infer an unknown vector or function. But what if the unknown is a probability measure? Seeking a measure that generates data consistent with given observations leads to an optimization problem over probability space. However, the complex geometric nature of this space prevents the direct use of standard arguments and solvers. We unravel some of the surprises that emerge in this setting and discuss potential solutions.",
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