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SUMMARY:Non-abelian cohomology\, differential equations\, and p-curvatures
  [Arithmetic Geometry and Representation Theory Research Seminar]
DTSTART:20251121T130500Z
DTEND:20251121T150000Z
DTSTAMP:20260308T050400Z
UID:indico-event-781@math-events.uni-bonn.de
DESCRIPTION:Speakers: Josh Lam\n\nOne central aspect of algebraic geometry
  is that the cohomologyof algebraic varieties admit many extra structures 
 as compared with thatof\, say\, topological spaces. I will discuss some of
  these structures in thesetting of "non-abelian cohomology"\, as pioneered
  by Simpson\, and the newfeatures that arise\; we'll see that they are clo
 sely related to classicalquestions about differential equations such as th
 e Schlesinger system. Inparticular\, I'll talk about the proof of a conjec
 ture ofEkedahl--Shepherd-Barron--Taylor's and Bost's in many new cases\, w
 hich isabout the p-curvatures of differential equations such as Schlesinge
 r's.This is joint work with Daniel Litt\, following ideas of Kisin\, Menzi
 es\, andPapaioannou.\n\nhttps://math-events.uni-bonn.de/event/781/
LOCATION:MPIM\, Vivatsgasse\,  7 - Seminar Room (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/781/
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