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
Abstract(For more information see https://bimsa.net/activity/Arthur-Selberg) Cover section 3 of FL, discussing the main estimates