Time：14:00-15:00, Wednesday, November 22 2023
Venue：E4-233 & ZOOM
ZOOM ID:921 6725 8223
Passcode：064984
Speaker：Haoran Wang,Capital Normal University
Title：On mod p cohomology of Shimura curves
Abstract：The mod p local Langlands correspondence is well-understood for GL(2,Qp) by Breuil, Colmez, Emerton, Paskunas, et. al.. In order to understand the mod p Langlands program for higher rank groups, the study of the mod p cohomology of Shimura varieties seems to be an important approach. We will recall the mod p local Langlands correspondence for GL(2,Qp) and its relation with the cohomology of modular curves, and we will discuss our joint works with Yongquan Hu and with Yang Chen on the cohomology of Shimura curves in split and ramified settings.
