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PRODID:-//Memento EPFL//
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SUMMARY:What is a shtuka  / An infinity-adic criterion of good reduction f
 or Drinfeld modules
DTSTART:20211117T101500
DTEND:20211117T120000
DTSTAMP:20260916T034721Z
UID:d128577c52ed764d792fccf8797cf92979f75a2d798d1d134efb7623
CATEGORIES:Conferences - Seminars
DESCRIPTION:Maxim Mornev (EPFL)\nPreliminary (30 Mins): What is a shtuka?\
 n\nAbstract:\n\nIn the literature there are many seemingly incompatible de
 finitions of\na shtuka. I will explain the unifying idea which stands behi
 nd them.\nI will also discuss applications of shtukas to Langlands program
  and\nto the theory of Galois representations.\n\n15mins break \nMain tal
 k (45 mins): An infinity-adic criterion of good reduction for Drinfeld mod
 ules\n\nAbstract:\n\nJ.-K. Yu discovered that a Drinfeld module has a p-ad
 ic Tate module not\nonly for every prime p of the coefficient ring\, but a
 lso for the place\n$p = \\infty$. This contrasts with the case of abelian 
 varieties where\na Tate module can not be a vector space over the reals.\n
 \nI will explain how the construction of J.-K. Yu interacts with\nFargues-
 Fontaine curve\, and how this leads to a good reduction criterion\nof a ne
 w kind. This result supplements the classical criteria of\nNéron-Ogg-Shaf
 arevich and Grothendieck-de Jong.\n\nNo previous knowledge of abelian vari
 eties\, Drinfeld modules or\nFargues-Fontaine curve will be necessary to u
 nderstand the talk.
LOCATION:GA 3 21 https://plan.epfl.ch/?room==GA%203%2021
STATUS:CONFIRMED
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