The Arithmetic of the Langlands Program

Trimester Program

May 4 - August 21, 2020

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
     

Those planning to participate include:
Christophe Breuil, Pierre Colmez, Gabriel Dospinescu, Matt Emerton, Dennis Gaitsgory, Toby Gee, Michael Harris, Eugen Hellmann, Tasho Kaletha, Kiran Kedlaya, Chandrashekhar Khare, Kai-Wen Lan, Sophie Morel, Wieslawa Niziol, Vytautas Paskunas, Vincent Pilloni, Benjamin Schraen, Benoit Stroh, Jack Thorne, Eva Viehmann, Zhiwei Yun, Xinwen Zhu

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

  • Summer School (May 11-15)
  • Conference on Local Langlands and p-adic methods (July 13-17)
  • Conference on Global Langlands, Shimura varieties, and shtukas (August 17-21)


In case you are interested in participating, please fill out the 
application form. Limited financial support is available.