Some Progress on Categorical Local Langlands - Linus Hamann

Explore a comprehensive lecture on the progress made in the Categorical Local Langlands program, delivered by Linus Hamann from the Massachusetts Institute of Technology at the Joint IAS/Princeton University Number Theory Seminar. Delve into the intricacies of the local Langlands correspondence, its proof, and its implications for number theory. Examine the connection between varieties and local language correspondence, and understand the concept of globalization in this context. Investigate the local-global compatibility and its significance in the field. Gain insights into the extrinsic motivation behind this research and the role of eigen sheets in the theory. This in-depth talk provides a valuable opportunity for mathematicians and number theorists to stay abreast of the latest developments in this challenging area of research.

Introduction
Varieties
Local Language Correspondence
The Local Language Correspondence
Proof
General fact
Globalization
Local Global Compatibility
Extrinsic Motivation
Eigen Sheets