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.
De Pierre-Henri Chaudouard
De Pierre-Henri Chaudouard
De Lucas Mason-Brown
De Xinwen Zhu
De Xinwen Zhu
De Xinwen Zhu
De Tasho Kaletha
De Bao Chau Ngo
De Bao Chau Ngo
De Tasho Kaletha
De Matthew Emerton , Toby Gee , Eugen Hellmann
De Bao Chau Ngo
De Sam Raskin
De Sam Raskin
De Peter Scholze , Laurent Fargues
De Matthew Emerton , Toby Gee , Eugen Hellmann
De Matthew Emerton , Toby Gee , Eugen Hellmann
De Jean-François Dat
De Jessica Fintzen
De Peter Scholze , Laurent Fargues
De Matthew Emerton , Toby Gee , Eugen Hellmann
De Jessica Fintzen
De Jean-François Dat
De Peter Scholze , Laurent Fargues
De David Ben-Zvi
De Michael Harris , Tony Feng
De Yiannis Sakellaridis
De Michael Harris , Tony Feng
De Yiannis Sakellaridis
De Michael Harris , Tony Feng
De Vasudevan Srinivas
De Marc Levine
