Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series MATH-IHES
Subjects math
Date Wednesday 16 October 2019
Time 10:30
Institute IHES
Seminar Room Centre de conférences Marilyn et James Simons
Speaker's Last Name Xiao
Speaker's First Name Liang
Speaker's Email Address
Speaker's Institution BICMR, Peking University
Title On Slopes of Modular Forms
Abstract In this talk, I will survey some recent progress towards understanding the slopes of modular forms, with or without level structures. This has direct application to the conjecture of Breuil-Buzzard-Emerton on the slopes of Kisin's crystabelline deformation spaces. In particular, we obtain certain refined version of the spectral halo conjecture, where we may identify explicitly the slopes at the boundary when given a reducible non-split generic residual local Galois representation. This is a joint work in progress with Ruochuan Liu, Nha Truong, and Bin Zhao.
arXiv Preprint Number
Comments Séminaire de Géométrie Arithmétique Paris-Pékin-Tokyo
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