Seminars: Y. Hu, Serre’s modularity conjecture and $\mathrm{mod}~p$ Langlands program

SEMINARS


Beijing–Moscow Mathematics Colloquium May 10, 2024 11:00, Moscow, online

Serre’s modularity conjecture and $\mathrm{mod}~p$ Langlands program Y. Hu Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Abstract: Serre made a remarkable conjecture in his 1987 paper relating mod p representations of $Gal(\bar{Q}/Q)$ to $\mathrm{mod}~p$ modular forms. In this talk, I will review Serre’s conjecture (by numerical examples) and explain its relation to $\mathrm{mod}~p$ Langlands program. I will also discuss some recent progress on the subject. Language: English