Lecture----数学院晨兴数学中心

Title:	Geometrization of the local Langlands correspondence III
Speaker:	Prof. Laurent Fargues (IMJ-PRG)
Time:	2016-10-26, 15:30-17:00
Place:	N818
Abstract:	I will describe a conjecture related to the local Langlands correspondence. It says that given a discrete local Langlands parameter one should be able to construct an l-adic perverse sheaf on the perfectoid stack of G-bundles on the curve I defined and studied in my joint work with Fontaine. The stalks of this sheaf at semi-stable points should give a local Langlands correspondence for all extended pure inner forms of G, together with the internal structure of the local L-packets. The Hecke eigensheaf property for this sheaf implies the fact that those local Langlands correspondences are realized in the étale cohomology of local Shtuka moduli spaces (generalizations of Rapoport-Zink spaces by Scholze).
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