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SUMMARY:Yasuhiro Wakabayashi (Osaka Univ.)
DTSTART:20230315T010000Z
DTEND:20230315T020000Z
DTSTAMP:20260423T024839Z
UID:UAANTS/62
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/62/">
 Dormant opers and canonical diagonal liftings</a>\nby Yasuhiro Wakabayashi
  (Osaka Univ.) as part of University of Arizona Algebra and Number Theory 
 Seminar\n\n\nAbstract\nIn this talk\, we will discuss dormant opers\, whic
 h are certain flat bundles on an algebraic curve in positive characteristi
 c related to linear differential equations having a full set of solutions.
  The moduli theory of such objects (in special cases) has been studied in 
 the context of p-adic Teichmüller theory\, and has many different aspects
 \, including the connections with the intersection theory of Quot schemes 
 and the combinatorics of colored graphs\, as well as rational polytopes. O
 ne goal of my research is to solve the counting problem of dormant opers w
 hile deepening our understanding of these connections. As an approach to t
 hat problem in the case of prime-power characteristic\, I have recently be
 en thinking about a kind of arithmetic lifting of dormant opers\, which I 
 call “canonical diagonal lifting”. I would like to talk about that top
 ic\, starting with some basics on flat bundles.\n
LOCATION:https://researchseminars.org/talk/UAANTS/62/
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