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        "time_zone":"America\/Detroit",
        "event_title":"The Diaconis-Graham Inequalities and Links from Permutations",
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        "combined_title":"The Diaconis-Graham Inequalities and Links from Permutations: Amanda Schwartz",
        "event_subtitle":"Amanda Schwartz",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"In 1977, Diaconis and Graham proved inequalities involving different permutation statistics that measure disarray of permutations. This talk will focus on a new proof of these inequalities by Cornwell and McNew from 2024 that uses links associated to permutations. In particular, they prove the inequalities by expressing the Euler characteristic of these links in terms of the permutation statistics appearing in the inequalities.",
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        "event_title":"GLNT: Propagating congruences in the local Langlands program",
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        "combined_title":"GLNT: Propagating congruences in the local Langlands program: Sean Cotner",
        "event_subtitle":"Sean Cotner",
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        "description":"Abstract: I will describe recent work-in-progress with Tony Feng in which we compare the Fargues\u2013Scholze local Langlands correspondence to Kaletha's local Langlands correspondence for non-singular tame supercuspidal representations. The main underlying theorem is an explicit special case of Langlands functoriality, which we prove by leveraging Feng's recent results on \"modular functoriality\" several times.",
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        "event_title":"Colloquium: Total positivity: combinatorics, geometry, and representation theory",
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        "combined_title":"Colloquium: Total positivity: combinatorics, geometry, and representation theory: Xuhua He, University of Hong Kong",
        "event_subtitle":"Xuhua He, University of Hong Kong",
        "event_type":"Lecture \/ Discussion",
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        "description":"An invertible matrix is called totally positive if all of its minors are positive. Over the past several decades, this classical notion has evolved into a rich and far-reaching theory. In a foundational 1994 work, Lusztig extended total positivity to arbitrary split real reductive groups and their flag varieties, uncovering remarkable connections with combinatorics, geometry, and representation theory. Since then, total positivity has emerged in a wide range of contexts, from cluster algebras and higher Teichm\u00fcller theory to the geometry\nunderlying the amplituhedron.\n\nIn this talk, I will give an overview of the basic theory of total positivity and describe some recent developments. I will explain how the subject is intertwined with combinatorial structures such as Bruhat order and shellable posets, with representation theory through Lusztig's canonical basis, and with topology through the study of regular CW complexes and with an unexpected appearance of the Poincar\u00e9 econjecture. I will also discuss recent progress on the conjectures of Bj\u00f6rner, of Fomin-Zelevinsky, as well as further conjectures of Postnikov, Galashin-Karp-Lam, and Williams. This talk is based on my joint works with Huanchen Bao and with Kaitao Xie.",
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        "time_zone":"America\/Detroit",
        "event_title":"Finite Generation of MCG(S_{g,n})",
        "occurrence_title":"",
        "combined_title":"Finite Generation of MCG(S_{g,n}): Riley Sischo",
        "event_subtitle":"Riley Sischo",
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        "event_type_id":"21",
        "description":"The first four chapters of A Primer on Mapping Class Groups by Benson Farb and Dan Margalit give an introduction to the topic, and build up to the proof of finite generation for compact, orientable surfaces. In this talk we'll see the main mechanics that are used to complete the proof and lastly explore some of the essential objects to the proof, such as the complex of curves and point-pushing maps.",
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        "event_title":"Math Grad Show and Tell Seminar: The Riemann Mapping Theorem in Higher Dimensions",
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        "combined_title":"Math Grad Show and Tell Seminar: The Riemann Mapping Theorem in Higher Dimensions: Aaron Kim",
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        "description":"The Riemann mapping theorem is a fundamental result of one-variable complex analysis. But is it true in higher dimensions? In this talk, I\u2019ll outline how to find counterexamples to the theorem in dimensions 2 and above by a simple, dynamical argument.",
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        "event_title":"Algebraic Geometry Seminar: TBA",
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        "combined_title":"Algebraic Geometry Seminar: TBA: Josiah Foster (University of Oregon)",
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        "event_title":"Stochastic Kernel Topologies and Implications for Approximations, Robustness, and Learning",
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        "combined_title":"Stochastic Kernel Topologies and Implications for Approximations, Robustness, and Learning: Serdar Yuksel, Queens University",
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        "description":"Stochastic kernels represent system models, control policies, and measurement channels, and thus offer a general mathematical framework. We will first present several kernel topologies, which we classify as weak topologies (which includes weak* (also called Borkar), Young, and kernel mean embedding topologies), and strong topologies (in various forms), and study their relations. Regularity of optimal cost on models and policies will then be presented with a unified framework.\n\nWe will show that weak topologies are versatile for control policy spaces where the associated compactness\/continuity properties result in new existence and approximate optimality results in both discrete-time and continuous-time, such as (i) discrete-time approximations for controlled diffusions with full, partial, and decentralized information, (ii) near optimality of Lipschitz policies, and (iii) finite approximations for stochastic control with decentralized information.\n\nStrong kernel topologies, however, are needed for a general robustness theory on mismatched models: When an optimal control policy designed for an incorrect model is applied to a true system, we show that the expected induced mismatch cost is continuous under continuous weak convergence and uniform convergence of transition kernels. Under stronger regularity, a modulus of continuity is also applicable. As implications we study (i) robustness to finite approximations, (ii) robustness to empirical or Bayesian model learning, (iii) near optimality of quantized Q-learning for MDPs with standard Borel spaces, and (iv) robustness to incorrectly modeled noise or prior distributions. Comparison with several robustness paradigms (such as distributional robustness) will also be discussed.\n\n[Joint work with Ali D. Kara, Omar Mrani-Zentar, Somnath Pradhan, and Naci Saldi].",
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        "event_title":"RTG Topology Geometry Dynamics. ERGODIC METHODS IN COMBINATORICS AND NUMBER THEORY",
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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",
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        "description":"Explain the proof of the key combinatorial result (Theorem 1.9 of the paper) behind the main theorem.",
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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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        "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":"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)",
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        "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":"A Novel Construction for $\\mathfrak{sl}_4$ Webs",
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        "event_title":"2026 Byrne Conference on Stochastic Analysis in Finance and Insurance",
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        "event_subtitle":"",
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        "occurrence_notes":"Schedule TBD- all day June 2-4",
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        "description":"Attendance is free, but online registration is required for all attendees who are not speakers. sites.google.com\/umich.edu\/byrneconference2026\n\nSpeakers \nAgostino Capponi (Columbia University)\nRama Cont (University of Oxford)\nGiorgio Ferrari (Bielefeld University)\nAnran Hu (Columbia University)\nKasper Larsen (Rutgers University)\nMartin Larsson (Carnegie Mellon University)\nJin Ma (University of Southern California)\nAlpar Meszaros (Durham University)\nSergey Nadtochiy (Carnegie Mellon University)\nJustin Sirignano (University of Oxford)\nRenyuan Xu (Stanford University)\nPhillip Yam (Chinese University of Hong Kong)\nThaleia Zariphopoulou (University of Texas at Austin)\nYufei Zhang (Imperial College London)\n\nVenue \nAll the talks will be held in Helmut Stern Auditorium at University of Michigan Museum of Art, located at 525 S State St, Ann Arbor, MI 48109.\n\nOrganizers \nErhan Bayraktar (University of Michigan)\nAsaf Cohen (University of Michigan)\nIbrahim Ekren (University of Michigan)\n\nAcknowledgement\nThis meeting is partially funded by the Department of Mathematics, Jack Byrne Center for Financial Mathematics and Risk Management, and Curtis E. Huntington Honorary fund.",
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        "event_title":"2026 Byrne Conference on Stochastic Analysis in Finance and Insurance",
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        "event_title":"Algebraic Geometry Seminar: TBA",
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