Real local Langlands seminar
The goal of this seminar is to understand Scholze's recent work on the geometrization of the real local Langlands program.
TBD, first meeting 2:30 - 4 PM in 507 on September 4.
[1] Peter Scholze. "Geometrization of the real local Langlands correspondence (draft version, used for ARGOS seminar)." Available here.
Date | Speaker | Topic | References | Notes |
September 4 | Avi Zeff | Introduction, organization and overview | [1] | |
Classical real local Langlands for GL2 | ||||
Analytic rings | ||||
Analytic stacks | ||||
The Riemann–Hilbert correspondence | [1, §II] | |||
Locally analytic representations of real groups | [1, §III] | |||
Beilinson–Bernstein localization | [1, §IV] | |||
Archimedean Fargues–Fontaine curves | [1, §V] | |||
Pic and Div1 | [1, §VI] | |||
The stack of L-parameters | [1, §VII] | |||
Twistor structures and diamonds | [1, §VIII] | |||
BunG | [1, §IX] | |||
Non-abelian real Lubin–Tate theory | [1, §X] |