Student Algebraic Geometry Seminar: Local Langlands in the complex case

Seminar | March 13 | 4-5 p.m. | 891 Evans Hall

 Eric Chen, UC Berkeley

 Department of Mathematics

The classical local Langlands correspondence is roughly an identification of Galois representations with representations of a reductive group \( G(F) \) where \( F \) is a local field. In particular, we may think of representations of \( G(F) \) as "fibering" over the space of Galois representations, where each fiber consists of "L-packets." In this talk I will outline a similar picture in the complex geometric case due to Frenkel, and explain why local systems and Kac-Moody algebras help us form analogous Langlands type conjectures.