Spring 2026 Seminar
Spring 2026 Seminar
Geometrization of local Langlands Learning Seminar Spring 2026
On Wednesdays at 10:15 - 11:45 am in Hodson 313
This is a learning seminar on the Fargues-Scholze approach to geometrizing the local Langlands correspondence.
Our primary references are:
Geometrization of the local Langlands correspondence, Fargues-Scholze, version November 2024
Lecture notes from a 2021 lecture series by Scholze
with occasional recourse to
Etale cohomology of diamonds, Scholze, version January 2022
Berkeley Lectures on p-adic Geometry, Scholze-Weinstein, 2020
Seminar schedule, with topics (number of lectures, and chapters of the paper) and speakers:
Jan 28: organizational meeting
Feb 4: Intro & overview (Lecture 1, Chapter I) - Rok Gregoric
Feb 11: Adic spaces, the Fargues-Fontaine curve (Lectures 2-4, Chapter II) - Qing Qi
Feb 18: Relative Fargues-Fontaine curve, diamons (Lectures 5, 6, Chapter II) - Yiannis Sakellaridis
Feb 25: Ultilts, Banach-Colmez spaces (Lectures 7, 8, Chapter II) - Hongxiang Zhao
Mar 4: Bundles on the Fargues-Fontaine curve (Lectures 9,-11, Chapter III) - Xin Wei
Mar 11: The affine Grassmanian, Bun_G (Lectures 12, 13, Chapter III) - Yashi Jain
Mar 18: Spring Break
Mar 26: Etale cohomology of diamonds, universal local acyclicity (Lectures 14, 15, 18, Chapter IV) - Anish Chedalavada
April 1: The Jacobian criterion and D_et (Bun_G) (Lectures 16-20, Chapter V) - Yashi Jain
April 8: Geometric Satake I (Lectures 21-13, Chapter VI) - Nooria Ahmed
April 15: Geometric Satake II (Lectures 24, 25, Chapter VI) - David Gepner
April 22: Solid & lise sheaves (Chapter VII) - Anish Chedalavada
April 29: L-parameters (Lectures 26, Chapter VIII) - Mitch Majure
May 6: Construction of L-parameters (Lecture 27, Chapter IX) - Mitch Majure
May 13: The spectral action (Lecture 27, Chapter X) - Nooria Ahmed
Condensed mathematics seminar Spring 2024
(part of the Johns Hopkins Category Theory Seminar)
On Tuesdays at 3 - 4 pm in Krieger 413
This semester we will attempt to follow a portion of the Analytic Stacks lecture series by Clausen-Scholze.
Our primary references are the recordings of the lectures, with an occasional reference for details to the past lecture notes:
Lectures on Condensed Mathematics, Peter Scholze, 2019
Lectures on Analytic Geometry, Peter Scholze, 2020
Condensed Mathematics and Complex Geometry, Dustin Clausen and Peter Scholze, 2022
Six-Functor Formalisms, Peter Scholze, 2023
Seminar schedule, with topics and speakers:
Feb 6: questions & discussion / review of last semester
Feb 13: Light condensed math (Lectures 2, 3, 4) - Tim Campion
Feb 20: Solid modules (Lectures 5, 6) - Toan Pham
Feb 27: Analytic rings (Lectures 8, 13) - Rok Gregoric
Mar 5: questions & discussion
Mar 12: Huber pairs (Lectures 7, 8, 9) - Yashi Jain
Mar 26: Liquid & gaseous modules (Lectures 12, 14) - Nooria Ahmed
April 2: questions & discussion
April 9: Six functor formalism and the !-topology (Lectures 16, 17, 18) - Naruki Masuda
April 16: Analytic stacks (Lectures 15, 19) - Anish Chedalavada
April 23: questions & discussion
Some miscellaneous notes on topics brought up as side-line discussion in the seminar