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DTSTAMP:20251210T164944
DTSTART;TZID=America/Detroit:20251216T143000
DTEND;TZID=America/Detroit:20251216T173000
SUMMARY:Workshop / Seminar:GLNT: Higher p-adic modular forms\; Frobenius lifting and a geometric theory of companion forms
DESCRIPTION:George Boxer's talk:\nTitle: Higher p-adic modular forms\n\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.\n\nVincent Pilloni's talk:\nTitle : Frobenius lifting and a geometric theory of companion forms\n\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.
UID:142297-21890431@events.umich.edu
URL:https://events.umich.edu/event/142297
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics,Number Theory
LOCATION:East Hall - 4096
CONTACT:
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BEGIN:VEVENT
DTSTAMP:20251214T141444
DTSTART;TZID=America/Detroit:20251216T144500
DTEND;TZID=America/Detroit:20251216T154000
SUMMARY:Workshop / Seminar:Particle Systems with Local Interactions via Hitting Times and Cascades on Graphs
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.
UID:142739-21891318@events.umich.edu
URL:https://events.umich.edu/event/142739
CLASS:PUBLIC
STATUS:CONFIRMED
CATEGORIES:Mathematics
LOCATION:Off Campus Location
CONTACT:
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