Seminars

Date :  2026. 4. 1. (Wed), 16:00 - 17:15

Place : 108-320, Reading Room

Speaker : Heejong Lee, (June E Huh Fellow, Korea Institute for Advanced Study(KIAS))

Title : Serre weight conjectures and modularity lifting for GSp4

Abstract : Given a Galois representation attached to a regular algebraic cuspidal automorphic representation, the Hodge--Tate weight of the Galois representation is matched with the weight of the automorphic representation. Serre weight conjectures are mod p analogue of such a correspondence, relating ramification at p of a mod p Galois representation and Serre weights of mod p algebraic automorphic forms. In this talk, I will discuss how to understand Serre weight conjectures and modularity lifting as a relationship between representation theory of finite groups of Lie type (e.g. GSp4(Fp)) and the geometry of p-adic local Galois representations. Then I will explain the proof idea in the case of GSp4. This is based on a joint work with Daniel Le and Bao V. Le Hung.

Arithmetic and Analytic Properties of Automorphic Forms

Date :  2026. 5. 5. (Tue) ~ 2026. 5. 9.(Sat)

Place : Hotel Regent Marine Jeju

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