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. |