Real local Langlands seminar

Fall 2024

The goal of this seminar is to understand Scholze's recent work on the geometrization of the real local Langlands program.

Time and place

Mondays 4:30 - 6:00 PM in 426 Mathematics

References

[1] Peter Scholze. "Geometrization of the real local Langlands correspondence (draft version, used for ARGOS seminar)." Available here.

Tentative schedule

  Date Speaker Topic References Notes
September 4 Avi Zeff Introduction, organization and overview [1] PDF
September 16 Avi Zeff Classical real local Langlands PDF
September 23 Avi Zeff Analytic rings PDF
September 30 Avi Zeff Analytic stacks PDF
October 7 Avi Zeff The analytic Riemann–Hilbert correspondence [1, §II] PDF
October 14 Avi Zeff Locally analytic representations of real groups [1, §III] PDF
October 21 Avi Zeff Analytic Beilinson–Bernstein localization [1, §IV] PDF
October 28 Avi Zeff Archimedean Fargues–Fontaine curves [1, §V] PDF
November 4 Academic holiday
November 11 Avi Zeff Pic and Div1 [1, §VI-VII.1] PDF
November 18 Avi Zeff L-parameters and Hodge structures [1, §VII.2-VIII.2] PDF
November 25 Avi Zeff Twistor structures and Hecke correspondences [1, §VIII.3-IX.2] PDF
December 2 Avi Zeff Non-abelian real Lubin–Tate theory [1, §IX.3-X] PDF
December 9 Avi Zeff Speculation: archimedean shtukas and local Shimura varieties