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SUMMARY:Aaron Landesman (MIT)
DTSTART:20221014T200000Z
DTEND:20221014T210000Z
DTSTAMP:20260423T024834Z
UID:UAANTS/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/51/">
 Arithmetic representations on generic curves</a>\nby Aaron Landesman (MIT)
  as part of University of Arizona Algebra and Number Theory Seminar\n\n\nA
 bstract\nOver the last century\, the Hodge and Tate conjectures have inspi
 red much activity in algebraic and arithmetic geometry. These conjectures 
 give predictions for when certain topological objects come from geometry. 
 Simpson and Fontaine-Mazur introduced non-abelian analogs of these conject
 ures. In joint work with Daniel Litt\, we prove these analogs for low rank
  local systems on generic curves\, resolving conjectures of Esnault-Kerz a
 nd Budur-Wang as well as answering questions of Kisin and Whang.\n
LOCATION:https://researchseminars.org/talk/UAANTS/51/
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