Number Theory Seminar

Date:
Apr
09
2026

Joint IAS/PU Number Theory

Local Intertwining Relation
Sug-Woo Shin
3:30pm|Simonyi 101 and Remote Access

The local intertwining relation (LIR) is an identity that gives precise information about the action of normalized intertwining operators on parabolically induced representations. It plays a central role in Arthur’s endoscopic classification for...

Apr
30
2026

Joint IAS/PU Number Theory

On the Distribution of Modular Points on Deformation Rings
John Bergdall
3:30pm|Simonyi 101 and Remote Access

The goal of this talk is to discuss a new local-global phenomenon in the Langlands program on automorphic forms and Galois representations. Spaces of modular forms are parametrized by weights, and those same weights parametrize local deformation...