Seminar on the \(p\)-adic Langlands program
The goal of this seminar is to explore the categorical \(p\)-adic Langlands program, i.e. a series of conjectures giving a partial analogue of the work of Fargues-Scholze when \(\ell = p\). Along the way, we will discuss the "classical" Langlands program and the Taylor-Wiles method.
Thursdays 3 - 4 PM, 528 Mathematics
[1] Matthew Emerton, Toby Gee, Eugen Hellmann. "An Introduction to the Categorical p-Adic Langlands Program." IHES Summer School on the Langlands Program (2022).
| Date | Speaker | Topic | References | Notes |
| September 8 | Avi Zeff | Introduction, organization and overview | [1] | |
| September 15 | Kevin Chang |
Overview of the Langlands program Overview of the Langlands program
I'll describe some of the main conjectures in the Langlands program and survey some known cases. |
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| September 22 | Avi Zeff | Overview of Fargues-Scholze | ||
| September 29 | Haodong Yao | Taylor-Wiles patching | ||
| October 6 | Haodong Yao | Taylor-Wiles patching, continued: connections to \(p\)-adic Langlands | ||
| October 13 | David Marcil | \((\phi, \Gamma)\)-modules and the Emerton-Gee stack | ||
| October 20 | Avi Zeff | Formulation of the \(p\)-adic Langlands conjectures | [1, §6.1] | |
| October 27 | Cancelled | |||
| November 3 | Avi Zeff | Connections and known cases | ||
| November 10 - 24 | Break for coordination + Thanksgiving | |||
| December 1 | David Marcil | Global applications: cohomology of Shimura varieties | ||