# The Arithmetic of the Langlands Program

Trimester Program

May 2 - August 18, 2023

Organizers: Frank Calegari, Ana Caraiani , Laurent Fargues, Peter Scholze

The Langlands program aims to relate systems of polynomial equations with integer coefficients to automorphic forms, i.e. functions on symmetric spaces with a large number of discrete symmetries. The focus of the trimester will be on some manifestations of this program, including:

- moduli spaces of shtukas
- p-adic techniques in local Langlands and the relation to geometric Langlands
- Shimura varieties and more general spaces in global Langlands

The program will include a introductory Summer School addressed to PhD students and postdocs and 2 major conferences:

- Summer School on the Arithmetic of the Langlands Program (May 8-12, 2023) separate application process
- Conference on Local Langlands and p-adic methods (June 12-16, 2023)
- Conference on Global Langlands, Shimura varieties, and shtukas (August 7-11, 2023)

The application for the trimester program and the summer school have been closed.