AbstractThe local Langlands correspondence is a conjectural relation between sets of smooth representations and Langlands parameters, which has recently been upgraded to categorical equivalences by Fargues-Scholze/Xinwen Zhu in two different ways. I will describe mywork in progress on comparing these two categories
Organizers:Koji Shimizu (YMSC), Yihang Zhu (YMSC)Time:Fri.,15:00-17:30Feb. 28, 2025Venue:C548, Shuangqing Complex Building A15:00-16:00 Masao Oi (NTU)Title: Local Langlands conjecture and positive-depth Deligne-Lusztig theoryAbstract: The local Langlands conjecture predicts that irreducible representations of a p-adic reductive group can be classified in terms of certain arithmetic data invo...