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X-FROM-URL:https://eom.sdu.dk/events/ical/358b59c3-5703-49db-9061-6a59294f
 e1ed
X-WR-CALNAME:QM forskningsseminar med Anton Mellit om P=W via H2
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260602T163438Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:By H2 we denote the Lie algebra of polynomial hamiltonian vect
 or fields on the plane. We consider the moduli space of stable twisted Hi
 ggs bundles on an algebraic curve of given coprime rank and degree. De Ca
 taldo\, Hausel and Migliorini proved in the case of rank 2 and conjecture
 d in arbitrary rank that two natural filtrations on the cohomology of the
  moduli space coincide. One is the weight filtration W coming from the Be
 tti realization\, and the other one is the perverse filtration P induced 
 by the Hitchin map. Motivated by computations of the Khovanov-Rozansky ho
 mology of links by Gorsky\, Hogancamp and myself\, we look for an action 
 of H2 on the cohomology of the moduli space. We find it in the algebra ge
 nerated by two kinds of natural operations: on the one hand we have the o
 perations of cup product by tautological classes\, and on the other hand 
 we have the Hecke operators acting via certain correspondences. We then s
 how that both P and W coincide with the filtration canonically associated
  to the sl2 subalgebra of H2. Based on joint work in progress with Hausel
 \, Minets and Schiffmann.[nl]\n[url=https://www.mellit.org/]Read more abo
 ut Assistant Professor Anton Mellit from University of Vienna[/url].
DTEND:20220912T140000Z
DTSTAMP:20260602T163438Z
DTSTART:20220912T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM forskningsseminar med Anton Mellit om P=W via H2
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