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행사명 Webinar in Number Theory 2024
행사일자 2024-11-12
장소
링크주소 https://www.math.u-bordeaux.fr/~pthieull/LIA/webinars_NT.html
내용

Every Tuesday once a month: a 50 mn talk

Summer French time: 10:00-11:00,   Korean time: 17:00-18:00

Zoom link: https://cnrs.zoom.us/j/95421205116?pwd=h09AKYQPbXmECgcDFam7WYoWzMoDuD.1

 

2024/10/08: (10:00 France, 17:00 Korea): Jean-Stefan Koskivirta (University of Saitama)
Title: Recent advances on the weight part of Serre's conjecture

Abstract: The Langlands reciprocity associates a Galois representation with a certain modular form/automorphic representation. One can ask how this association reflects structures on both sides. For example, the weights of modular forms/automorphic representations are matched by the Hodge-Tate weights of Galois representations. The weight part of Serre's conjecture is a mod p analogue of this structural correspondence.

In this talk, we introduce the weight part of Serre's conjecture and its role in the Langlands program. Then, we discuss a novel idea proving the conjecture for the group GSp4 under technical assumptions. This is based on a joint work with Daniel Le and Bao Viet Le Hung.