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DTSTAMP:20260404T053029Z
UID:1633608000@ist.ac.at
DTSTART:20211007T140000
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DESCRIPTION:Speaker: Michael Groechenig\nhosted by Tamas Hausel\nAbstract: 
 Let G and G’ be Langlands dual reductive groups (e.g. SL(n) and PGL(n)).
  According to a theorem by Donagi-Pantev\, the generic fibres of the modul
 i spaces of G-Higgs bundles and G’-Higgs bundles are dual abelian variet
 ies and are therefore derived equivalent. It is an interesting open proble
 m 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 cons
 truct a K-theoretic shadow thereof: natural equivalences between complex K
 -theory spectra for certain moduli spaces of Higgs bundles (in type A).
LOCATION:https://mathseminars.org/seminar/AGNTISTA\, ISTA
ORGANIZER:birgit.oosthuizen-noczil@ist.ac.at
SUMMARY:Michael Groechenig: Complex K-theory of dual Hitchin systems 
URL:https://talks-calendar.ista.ac.at/events/3272
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