{
    "151182-21911041":
    {
        "datetime_modified":"20260913T082917",
        "datetime_start":"20260923T160000",
        "datetime_end":"20260923T170000",
        "has_end_time":1,
        "date_start":"2026-09-23",
        "date_end":"2026-09-23",
        "time_start":"16:00:00",
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        "time_zone":"America\/Detroit",
        "event_title":"Probability and Analysis Seminar: The Gamma-disordered Aztec diamond",
        "occurrence_title":"",
        "combined_title":"Probability and Analysis Seminar: The Gamma-disordered Aztec diamond: Roger Van Peski (Columbia University)",
        "event_subtitle":"Roger Van Peski (Columbia University)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Abstract: The dimer model, i.e. random perfect matchings of a bipartite graph, is a classical object about which much is known. As soon as one biases the probability measure by edge weights which are themselves random, very little is known rigorously, though physicists have studied such models for several decades and made extensive predictions. I will discuss a new integrable model in this class (the Gamma-disordered Aztec diamond) which allows us to prove results on the free energy, and also exhibits surprising relations to integrable polymer models which lead to probabilistic results on tilings. Joint work with Maurice Duits (KTH), https:\/\/arxiv.org\/abs\/2512.03033.",
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        "room":"4088",
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        "tags":["Mathematics"],
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    {
        "datetime_modified":"20260914T171857",
        "datetime_start":"20261007T160000",
        "datetime_end":"20261007T170000",
        "has_end_time":1,
        "date_start":"2026-10-07",
        "date_end":"2026-10-07",
        "time_start":"16:00:00",
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        "time_zone":"America\/Detroit",
        "event_title":"Probability and Analysis Seminar: Non-abelian Hirota\u2013Miwa Equations for the KPZ Universality Class",
        "occurrence_title":"",
        "combined_title":"Probability and Analysis Seminar: Non-abelian Hirota\u2013Miwa Equations for the KPZ Universality Class: C. Alexander Rodriguez (Umich)",
        "event_subtitle":"C. Alexander Rodriguez (Umich)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"Abstract: The KPZ universality class is a broad collection of mathematical and physical models linked through their shared universal scaling behavior. A privileged subset, known as exactly solvable models, possess algebraic structure that allows for exact formulas for their probability distributions.\n\nFor an even smaller subset of these models, their distributions have been shown to satisfy nonlinear equations from classical integrable systems, including Painlev\u00e9, KP, and Toda equations. Why should equations from soliton theory appear in random growth, and why do they keep reappearing across different models?\n\nI will describe a framework that gives a common algebraic explanation and extends this connection to eighteen exactly solvable models. The framework organizes the Fredholm determinant formulas of solvable KPZ models into an overdetermined linear problem whose compatibility conditions reveal a discrete integrable structure gauge equivalent to the non-abelian Hirota\u2013Miwa equation.",
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