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
 Matthew Emerton, Toby Gee, Eugen Hellmann. "An Introduction to the Categorical p-Adic Langlands Program." IHES Summer School on the Langlands Program (2022).
|September 8||Avi Zeff||Introduction, organization and overview|||
|September 15||Kevin Chang|
|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]|
|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|