Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Prof. Yongquan Hu，MCM
Inviter:
Title:	Mop p cohomology of Shimura curves
Time & Venue:	2018.12.20 15:30-16:30 N817
Abstract:	At present, the mod p (and p-adic) local Langlands correspondence is only well understood for the group GL2(Qp), but remains mysterious even for GL2 of an unramified extension of Qp. However, the Buzzard-Diamond-Jarvis conjecture and the mod p local-global compatibility for GL2/Q suggest that this hypothetical correspondence may be realized in the cohomology of Shimura curves with characteristic p coefficients, cut out by some modular residual global representation. In the talk, I will report some results on the mod p cohomology of Shimura curves from the point of view of the mod p Langlands program. This is joint work (in progress) with Haoran Wang.