Summer School on the Langlands Program

Collection Summer School on the Langlands Program

Organizer(s) Pierre-Henri Chaudouard, Wee Teck Gan, Tasho Kaletha, Yiannis Sakellaridis
Date(s) 7/11/22 - 7/29/22
linked URL
00:00:00 / 00:00:00
22 58

In the Langlands program over number fields, automorphic representations and Galois representations are placed into correspondence, using the cohomology of Shimura varieties as an intermediary. Over a function field, the appropriate intermediary is a moduli space of shtukas. We introduce the shtukas and their local analogues, which play a similar role in the local Langlands program. Along the way we construct the Fargues-Fontaine curve and discuss perfectoid spaces and diamonds. This survey may be seen as preparatory for the lectures of Fargues-Scholze.

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