The branches of number theory most directly related to the arithmetic of automorphic forms have seen much recent progress, with the resolution of many longstanding conjectures. These breakthroughs have largely been achieved by the discovery of new geometric techniques and insights. The goal of this program is to highlight new geometric structures and new questions of a geometric nature which seem most crucial for further development. In particular, the program will emphasize geometric questions arising in the study of Shimura varieties, the p-adic Langlands program, and periods of automorphic forms.
|August 14, 2014 - August 15, 2014||Connections for Women: New Geometric Methods in Number Theory and Automorphic Forms|
|August 18, 2014 - August 22, 2014||Introductory Workshop: New Geometric Methods in Number Theory and Automorphic Forms|
|December 01, 2014 - December 05, 2014||Automorphic forms, Shimura varieties, Galois representations and L-functions|