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
AbstractA major achievement in the Langlands program is Arthur's 2013 book on the endoscopic classification of square-integrable automorphic forms of (quasi-split) classical groups. In the first lecture, I will summarize the main results of this book and some key ingredients of their proofs. In particular, some of the ingredients were at that point in time anticipated but not yet fully written ...