Event Detail

Event Type: 
Number Theory Seminar
Date/Time: 
Tuesday, January 29, 2019 - 16:00 to 16:45
Location: 
STAG 160

Speaker Info

Institution: 
UC Santa Cruz
Abstract: 

To understand automorphic forms, one must understand the representations of Lie groups, like SL_2({\mathbb R}) and of p-adic groups like SL_2({\mathbb Q}_p). Representations of Lie groups can be studied through representations of *compact* Lie groups (understood by Cartan and Weyl) and the geometry of symmetric spaces. A similar approach is to study representations of p-adic groups through representations of *compact* p-adic groups (like SL_2({\mathbb Z}_p)) and the geometry of buildings. I will introduce this approach to p-adic groups, and recent progress in the cases where the building is a tree.