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 626 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 for GL2
September 23 Analytic rings
September 30 Analytic stacks
October 7 The Riemann–Hilbert correspondence [1, §II]
October 14 Locally analytic representations of real groups [1, §III]
October 21 Beilinson–Bernstein localization [1, §IV]
October 28 Archimedean Fargues–Fontaine curves [1, §V]
November 4 Academic holiday1
November 11 Pic and Div1 [1, §VI]
November 18 The stack of L-parameters [1, §VII]
November 25 Twistor structures and diamonds [1, §VIII]
December 2 BunG [1, §IX]
December 9 Non-abelian real Lubin–Tate theory [1, §X]