Research-Gelfand-Kirillov dimension and mod p cohomology for GL2

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Gelfand-Kirillov dimension and mod p cohomology for GL2

Speaker: Yongquan Hu (Morningside Center of Mathematics, CAS)
Time: Nov 10, 2020, 14:30-17:00
Location: Lecture Room 415, Huiyuan Block 3 & Zoom

Time: 14:30-15:30 & 16:00-17:00, Nov. 10, 2020

Zoom ID：697 2562 9748

Abstract

Talk 1: Gelfand-Kirillov dimension in p-adic Langlands program

Talk 2: On the mod p cohomology for GL2

In the first talk, I will explain this notion for mod p and p-adic representations of p-adic groups, and explain a control theorem of the Gelfand-Kirillov dimension for mod p representations of GL(2) and its application in the p-adic Langlands program.

In the second talk, I will prove an upper bound for some mod p smooth representations of GL(2) coming from cohomology of Shimura curves and discuss the main steps of the proof.

This is a joint work with Breuil, Herzig, Morra, Schraen, and with Wang.