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    "142297-21890431":
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        "datetime_modified":"20251210T164944",
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        "time_start":"14:30:00",
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        "time_zone":"America\/Detroit",
        "event_title":"GLNT: Higher p-adic modular forms; Frobenius lifting and a geometric theory of companion forms",
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        "combined_title":"GLNT: Higher p-adic modular forms; Frobenius lifting and a geometric theory of companion forms: George Boxer (Imperial), Vincent Pilloni (Universit\u00e9 Paris-Saclay)",
        "event_subtitle":"George Boxer (Imperial), Vincent Pilloni (Universit\u00e9 Paris-Saclay)",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"George Boxer's talk:\r\nTitle: Higher p-adic modular forms\r\n\r\nAbstract: The goal of the theory of higher p-adic modular forms is to study the p-adic properties of higher coherent cohomology of Shimura varieties, just as usual p-adic modular forms are used to study classical modular forms (or coherent H^0).  In this talk I will try to motivate why we should study higher coherent cohomology of Shimura varieties and then give an introduction to higher p-adic modular forms and in particular some generalizations of the works of Hida and Coleman on classicality and families.  All this is joint with Vincent Pilloni.\r\n\r\nVincent Pilloni's talk:\r\nTitle : Frobenius lifting and a geometric theory of companion forms\r\n\r\nAbstract : We describe the obstruction to lift Frobenius on Siegel Shimura varieties modulo p^2. We give an application to the theory of companion forms on the modular curve (originally due to Gross, Coleman-Voloch, Faltings-Jordan) and on Siegel threefolds.",
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                "group_name":"Group, Lie and Number Theory Seminar - Department of Mathematics",
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    {
        "datetime_modified":"20251214T141444",
        "datetime_start":"20251216T144500",
        "datetime_end":"20251216T154000",
        "has_end_time":1,
        "date_start":"2025-12-16",
        "date_end":"2025-12-16",
        "time_start":"14:45:00",
        "time_end":"15:40:00",
        "time_zone":"America\/Detroit",
        "event_title":"Particle Systems with Local Interactions via Hitting Times and Cascades on Graphs",
        "occurrence_title":"",
        "combined_title":"Particle Systems with Local Interactions via Hitting Times and Cascades on Graphs: Yucheng Guo, Princeton University",
        "event_subtitle":"Yucheng Guo, Princeton University",
        "event_type":"Workshop \/ Seminar",
        "event_type_id":"21",
        "description":"We study particle systems interacting via hitting times on sparsely connected graphs, following the framework of Lacker, Ramanan and Wu (2023). We provide general robustness conditions that guarantee the well-posedness of physical solutions to the dynamics, and demonstrate their connections to the dynamic percolation theory. We then study the limiting behavior of the particle systems, establishing the continuous dependence of the joint law of the physical solution on the underlying graph structure with respect to local convergence and showing the convergence of the global empirical measure, which extends the general results by Lacker et al. to systems with singular interaction. The model proposed provides a general framework for analyzing systemic risks in large sparsely connected financial networks with a focus on local interactions, featuring instantaneous default cascades. This work is done jointly with Qinxin Yan.",
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