Séminaire Arithmétique et Géométrie Algébrique
Local-global compatibility beyond the self-dual case
11
Feb. 2025
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Intervenant : Bence Hevesi
Institution : LMO
Heure : 14h00 - 15h00
Lieu : 3L15

The breakthrough results of Harris--Lan--Taylor--Thorne, and Scholze on the construction of not necessarily self-dual automorphic Galois representations opened up many new directions in Langlands reciprocity. In particular,  verifying local-global compatibility at p for their automorphic (p-adic and p-torsion) Galois representations has since been under investigation, starting with the work of Allen--Calegari--Caraiani--Gee--Helm--Le Hung--Newton--Scholze--Taylor--Thorne, the famous “10-author paper”. In this talk, we will discuss recent progress on this problem.

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