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
Description:We will give an introduction course to the research field called Geometric Langlands Theory (GLT).Roughly speaking, GLT is the analogue of the classical Number-theoretical Langlands Theory under the function field analogy, but the mathematical structures studied in GLT are often “1-categorical level higher” than its number-theoretical counterpart. Typical such structures include: ...
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