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SUMMARY:Michael Groechenig (University of Toronto)
DTSTART:20211007T120000Z
DTEND:20211007T140000Z
DTSTAMP:20260423T005803Z
UID:AGNTISTA/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AGNTISTA/42/
 ">Complex K-theory of dual Hitchin systems</a>\nby Michael Groechenig (Uni
 versity of Toronto) as part of Algebraic Geometry and Number Theory semina
 r - ISTA\n\n\nAbstract\nLet G and G’ be Langlands dual reductive groups 
 (e.g. SL(n) and PGL(n)). According to a theorem by Donagi-Pantev\, the gen
 eric fibres of the moduli spaces of G-Higgs bundles and G’-Higgs bundles
  are dual abelian varieties and are therefore derived equivalent. It is an
  interesting open problem to prove existence of a derived equivalence over
  the full Hitchin base. I will report on joint work in progress with Shiyu
  Shen\, in which we construct a K-theoretic shadow thereof: natural equiva
 lences between complex K-theory spectra for certain moduli spaces of Higgs
  bundles (in type A).\n
LOCATION:https://researchseminars.org/talk/AGNTISTA/42/
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