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        "time_start":"15:45:00",
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        "event_title":"Algebraic Geometry Learning Seminar: Cographic matroid criterion",
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        "combined_title":"Algebraic Geometry Learning Seminar: Cographic matroid criterion: Saket Shah",
        "event_subtitle":"Saket Shah",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Explain the proof of the key combinatorial result (Theorem 1.9 of the paper) behind the main theorem.",
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        "datetime_modified":"20260305T102627",
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        "event_title":"Professors Jie (Jackie) Li, Ralf J. Spatzier, and Nicholas A. Valentino, Collegiate Professorship Inaugural Lecture",
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        "combined_title":"Professors Jie (Jackie) Li, Ralf J. Spatzier, and Nicholas A. Valentino, Collegiate Professorship Inaugural Lecture",
        "event_subtitle":"",
        "event_type":"Lecture \/ Discussion",
        "event_type_id":"13",
        "description":"This event will take place both in person and virtually.\n\nProfessor Jie (Jackie) Li\nRodney C. Ewing Collegiate Professor of Earth and Planetary Sciences\n\nLecture Title: From Diamonds to Dynamo: How Earth Stays Magnetic? \n\nLecture Abstract: Beneath the dancing lights of the aurora lies a 4-billion-year survival story. By recreating the extreme pressures and temperatures of Earth\u2019s core with gem-quality diamonds and tightly focused lasers, we peer into our planet\u2019s deepest engine. There, we uncover how a cooling Earth overcame major energy crises by switching its fuel source, thereby sustaining the magnetic shield that protects life.\n\nProfessor Ralf J. Spatzier\nGopal Prasad Collegiate Professor of Mathematics\n\nLecture Title: Symmetry In Geometry and Dynamics:\nThe Role of Intuition in Mathematics Research\n\nLecture Abstract: How does mathematics progress? And how do\nmathematicians actually make progress?\n\nWe are actually making lots of progress, and I hope I can\nconvince you! But there are many ways we achieve this. Let\nme tell you about it in my own case.\nLeading Question: How do I make progress?\n1: By working hard long hours in my office with my computer?\n2: By doing difficult calculations with pen and paper?\n3: By going for a walk?\nI will try to illuminate how fundamental progress happened in my\nown limited experience. It involved grand ideas such as\n\u201csymmetry\u201d and how it limits possibilities. A classical example\nare the Platonic solids, i.e. convex regular polyhedra with\ncongruent faces (symmetry). Turns out there are only five.\nWhen a few mild harmless assumptions greatly limit the possible\nobjects and even completely determine a system, we speak of\n\u201cRIGIDITY\u201d, just as in the case of the platonic solids.\nIn my own research, symmetry is an overriding principle, leading\nto rigidity in geometry. As it happened - and after many walks -\nthis also inspired ideas for rigidity in dynamical systems with\nsymmetry.\nSymmetry and extremal properties have played a major role in\nmathematics for a long time. While I will start to discuss this in\n\nthe context of some Riemannian geometry, I will emphasize more\nrecent work on dynamical systems. Here symmetry expresses\nitself in terms of having non-trivially commuting maps or flows,\nor an action of some group with complicated relations. Case in\npoint are actions of semisimple Lie groups, especially ones of\nhigher rank, e.g. SL(n,R) with n at least 3. This is the so-called\nZimmer program. I will hint at some recent highlights.\n\nProfessor Nicholas A. Valentino\nDonald R. Kinder Collegiate Professor of Political Science\n\nLecture Title: The Big River: Explorations on the Role of Race in Politics\n\nLecture Abstract: My work owes most of its inspiration to the Symbolic Politics Theory proposed originally by David Sears at UCLA in the 1980s and further developed by Donald Kinder here at Michigan. The central claim of that theory is that symbolic predispositions- partisanship, racial identity, prejudice- and the deeply rooted emotions associated with these attachments drive many political choices and behavior much more powerfully than material self-interest. The theory originally focused on explaining policy opinions and behaviors with direct and explicit consequences for the distribution of rights and resources between racial groups in America, and even more narrowly on the black-white divides over affirmative action and the election of African American candidates. One of my main goals has been to broaden this exploration to political domains explicitly unrelated to race, such as crime, immigration, government surveillance, electoral laws, and so on. In general, my collaborators and I find that deeply rooted racial attitudes, identities, and emotional processes profoundly impact nearly every domain of politics. \n\nIf you are unable to join us in person, please click the link below to join the webinar.\nJoin from PC, Mac, iPad, or Android:\nhttps:\/\/umich.zoom.us\/j\/95783933422\n\nPhone one-tap:\n+13092053325,,95783933422# US\n+13126266799,,95783933422# US (Chicago)\n\nJoin via audio:\n+1 309 205 3325 US\n+1 312 626 6799 US (Chicago)\n+1 646 876 9923 US (New York)\n+1 646 931 3860 US\n+1 301 715 8592 US (Washington DC)\n+1 305 224 1968 US\n+1 719 359 4580 US\n+1 253 205 0468 US\n+1 253 215 8782 US (Tacoma)\n+1 346 248 7799 US (Houston)\n+1 360 209 5623 US\n+1 386 347 5053 US\n+1 507 473 4847 US\n+1 564 217 2000 US\n+1 669 444 9171 US\n+1 669 900 6833 US (San Jose)\n+1 689 278 1000 US\n+1 778 907 2071 Canada\n+1 780 666 0144 Canada\n+1 204 272 7920 Canada\n+1 438 809 7799 Canada\n+1 587 328 1099 Canada\n+1 647 374 4685 Canada\n+1 647 558 0588 Canada\nWebinar ID: 957 8393 3422\nInternational numbers available: https:\/\/umich.zoom.us\/u\/azI9zGShx",
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        "event_title":"Type theory seminar: Type inference",
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        "combined_title":"Type theory seminar: Type inference: Ethan Parker",
        "event_subtitle":"Ethan Parker",
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        "description":"This is a learning seminar on dependent type theory. We are currently following Peter Selinger's lecture notes on the lambda calculus (available online here: https:\/\/www.mathstat.dal.ca\/~selinger\/papers\/lambdanotes.pdf). This talk will cover chapter 9 of Selinger's notes, on algorithms for type checking and type inference in the simply typed lambda calculus.",
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        "event_title":"A positive combinatorial formula for the double Edelman\u2013Greene coefficients (Combinatorics seminar)",
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        "combined_title":"A positive combinatorial formula for the double Edelman\u2013Greene coefficients (Combinatorics seminar): Tianyi Yu (UQAM)",
        "event_subtitle":"Tianyi Yu (UQAM)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Lam, Lee, and Shimozono introduced the double Stanley symmetric functions in their study of the equivariant geometry of the affine Grassmannian. They proved that the associated double Edelman\u2013 Greene coefficients, the double Schur expansion of these functions, are positive, a result later refined by Anderson. They further asked for a combinatorial proof of this positivity. We provide the first such proof, together with a combinatorial formula that manifests the finer positivity established by Anderson. Our formula is built from two combinatorial models: bumpless pipedreams and increasing chains in the Bruhat order. The proof relies on three key ingredients: a correspondence between these two models, a natural subdivision of bumpless pipedreams, and a symmetry property of increasing chains. This talk is based on joint work with Jack Chou.",
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        "event_title":"AIM Seminar:  Mean-Field Dynamics of Transformers: From Modeling to Clustering and Critical Scaling",
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        "combined_title":"AIM Seminar:  Mean-Field Dynamics of Transformers: From Modeling to Clustering and Critical Scaling: Shi Chen (MIT)",
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        "event_type_id":"13",
        "description":"Abstract:  Self-attention is a central component of modern transformer architectures and is one of the key mechanisms behind the success of Large Language Models. Understanding its mathematical structure is therefore essential for explaining how these models process information and learn useful representations. In this talk, I will describe an interacting-particle perspective on self-attention, which has been developed in recent work by several authors as a fruitful framework for analyzing transformer dynamics. Unlike the classical mean-field theory for deep neural networks, where the particles are neurons and the mean-field limit is tied to overparameterization, here the particles are tokens whose representations evolve through attention interactions. This mean-field perspective leads to a new viewpoint on transformer dynamics, with consequences for both theory and practice. In particular, I will explain how it helps illuminate clustering behavior in deep transformers and the critical temperature scaling laws that arise in many frontier models.\n\nContact:  Zhiyan Ding",
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        "datetime_modified":"20260409T094831",
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        "event_title":"On the structure of infinite sumsets in the integers",
        "occurrence_title":"",
        "combined_title":"On the structure of infinite sumsets in the integers: Florian Richter (EPFL)",
        "event_subtitle":"Florian Richter (EPFL)",
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        "description":"Abstract :\nA long-standing problem in combinatorial number theory, posed by Erd\u0151s and Graham, asks for a classification of all integer subsets A and B for which d(A+B)=d(A)+d(B), where d(.) denotes the natural density in the integers. We will discuss the history and motivation of this problem, its connections to ergodic theory, as well as recent progress toward its resolution. This talk is based on joint work with Ethan Ackelsberg.",
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        "datetime_modified":"20260415T231203",
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        "time_zone":"America\/Detroit",
        "event_title":"GLNT:  Ind-Banach approach to Grothendieck duality in analytic geometry",
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        "combined_title":"GLNT:  Ind-Banach approach to Grothendieck duality in analytic geometry: Arun Soor",
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        "description":"Abstract: Grothendieck duality for schemes can be viewed as a generalization of Serre duality to quasi-coherent sheaves. Since Serre duality also exists in analytic geometry, it is natural to ask if there is also an analytic version of Grothendieck duality. I will explain how to formulate and prove Grothendieck duality in rigid-analytic geometry, including an identification of the dualizing complex with volume forms. The main innovation of our approach lies in the underlying functional analysis, which uses the Ind-category of Banach spaces rather than condensed mathematics. Nevertheless, our overall strategy is strongly inspired by that of Clausen\u2014Scholze in the complex setting.",
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        "event_title":"Large-Degree Asymptotics of Rational Painleve-V Functions",
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        "combined_title":"Large-Degree Asymptotics of Rational Painleve-V Functions: Robert  Buckingham (University of Cincinnati)",
        "event_subtitle":"Robert  Buckingham (University of Cincinnati)",
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        "description":"The Painleve-V equation has two families of rational solutions, one built from generalized Umemura polynomials and one built from generalized Laguerre polynomials.  These solutions have drawn interest because they arise in a variety applications and because their zeros and poles exhibit remarkable geometric structures.  We formulate Riemann-Hilbert problems for both families and obtain large-degree asymptotic results using nonlinear steepest-descent analysis.  Results for the generalized Umemura solutions are joint with Matthew Satter of the University of Michigan and the results for the generalized Laguerre solutions are joint with Trevor Johnson of the University of Cincinnati.",
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        "event_title":"Celebratory Tea- Mathematical Association of America (MAA) Michigan Section Awards",
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        "combined_title":"Celebratory Tea- Mathematical Association of America (MAA) Michigan Section Awards: Denise Lee and Stephen DeBacker",
        "event_subtitle":"Denise Lee and Stephen DeBacker",
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        "datetime_modified":"20260415T154150",
        "datetime_start":"20260422T130000",
        "datetime_end":"20260422T143000",
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        "event_title":"Marjorie Lee Browne Scholars Mini-Symposium",
        "occurrence_title":"",
        "combined_title":"Marjorie Lee Browne Scholars Mini-Symposium: Ian Augsburger, Ammar Eltigani, and Nicholas Simafranca",
        "event_subtitle":"Ian Augsburger, Ammar Eltigani, and Nicholas Simafranca",
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        "description":"You are invited to attend a mini-symposium featuring the 14th cohort of MLB scholars completing the program this month. Each MLB scholar will give a 25-minute presentation of their research and have 5 minutes to answer questions from the audience. The MLB mini-symposium will take place on Wednesday, April 22 from 1:00-2:30pm in 1068EH. Food will be provided during the talks.\n\nPlease RSVP by Sunday, April 19 so that we know how many people to expect and can order food accordingly. https:\/\/forms.gle\/nY719sLt3CdtovG38\n---\nIan Augsburger: Efficient Learning of Dirichlet Simplex Models with Asymmetric Concentration Parameters\n\nAbstract: Learning latent topic or mixture models governed by Dirichlet distributions is a central problem in unsupervised learning, with applications ranging from topic modeling to population genetics and biological mixture analysis. Existing approaches\u2014most notably MCMC- and variational-based methods\u2014are often computationally expensive, sensitive to initialization, and particularly brittle in regimes where the Dirichlet concentration parameters are asymmetric or highly skewed.\n \nIn this work, we study the problem of efficiently learning Dirichlet Simplex Models, with special emphasis on the practically important but underexplored setting of asymmetric concentration parameters and regimes where individual components dominate the mixture. We show that the second-order moment structure of the observed data encodes the simplex geometry up to an orthogonal transformation on a low-dimensional subspace. Exploiting this structure, we reduce parameter recovery to the problem of learning an orthogonal map.\n \nBy introducing a geometry-aware metric aligned with the intrinsic covariance of the data, we obtain a simplified optimization scheme over the orthogonal group that is both stable and fast. Our approach leverages the polytope geometry of the simplex to enable parallelization over symmetry classes, significantly accelerating convergence. Empirically, the resulting algorithm performs remarkably well for asymmetric Dirichlet models, where standard MCMC-based methods often struggle. We view this framework as a step toward efficient, geometry-driven learning algorithms for broader classes of latent variable models.\n---\nAmmar Eltigani: Random Matrix Theory for High-Dimensional Machine Learning\n \nAbstract: The modern high-dimensional regime\u2014where the number of samples and their dimensions grow proportionally\u2014is ubiquitous in machine learning applications such as finance, healthcare, wireless communications, neuroscience, and computer vision. Despite the remarkable success of large-scale models in this setting, the underlying mathematical reasons remain only partially understood. Why, for instance, do overparameterized neural networks generalize well, and why do their risk curves exhibit double descent?\n \nThis expository talk begins by examining how low-dimensional intuitions fail in high dimensions, focusing on covariance estimation. We then introduce the Mar\u010denko\u2013Pastur law, which describes the limiting spectral distribution of sample covariance matrices for white noise. Finally, we discuss its generalization to arbitrary covariances and apply it to ridgeless linear regression, deriving a theoretical risk curve that displays the double-descent phenomenon.\n---\nNicholas Simafranca: Learning Low-Dimensional Representations with Heteroscedastic Data Sources\n\nAbstract: Principal component analysis (PCA) is a fundamental method for dimensionality reduction, but it treats all samples uniformly and can perform poorly when data come from sources with unequal noise levels. In this talk, I begin with the classical and probabilistic viewpoints of PCA, introducing probabilistic PCA (PPCA) as a latent-variable model for low-dimensional structure. I then discuss HePPCAT, a heteroscedastic extension of PPCA that allows different groups of samples to have different noise variances. Unlike classical PCA, the resulting maximum-likelihood problem is nonconvex and is not solved by a single eigendecomposition. I will describe how this problem can be approached through alternating majorization-minimization and explain how a Riemannian block MM framework gives a route to proving convergence of a proximalized HePPCAT algorithm to a stationary point.",
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        "datetime_start":"20260423T100000",
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        "time_zone":"America\/Detroit",
        "event_title":"A Novel Construction for $\\mathfrak{sl}_4$ Webs",
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        "combined_title":"A Novel Construction for $\\mathfrak{sl}_4$ Webs: Diya Yang",
        "event_subtitle":"Diya Yang",
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        "description":"Abstract: The standard monomial basis for $\\mathfrak{sl}_r$-invariant polynomials is indexed by rectangular standard Young tableaux, but it lacks rotational invariance. Although promotion induces a cyclic action on tableaux, a more symmetric basis is desirable. For $\\mathfrak{sl}_2$ and $\\mathfrak{sl}_3$, such bases are given by non-crossing matchings and non-elliptic $\\mathfrak{sl}_3$ webs, respectively. In the case of $\\mathfrak{sl}_4$, a web basis has recently been constructed using hourglass plabic graphs, but this approach relies on intricate growth rules and does not readily generalize to higher rank.\n\nIn this thesis, we introduce a simpler and more direct construction of $\\mathfrak{sl}_4$ webs. Starting from a rectangular four-row standard Young tableau, we construct the associated web by stacking the $\\mathfrak{sl}_3$ webs corresponding to the top three rows and the bottom three rows, identifying along the non-crossing matching determined by the middle two rows. We prove that the resulting web is fully reduced and lies in the same equivalence class as the $\\mathfrak{sl}_4$ web obtained via growth rules.",
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