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SUMMARY:Eric Sommers (UMass)
DTSTART:20220420T200000Z
DTEND:20220420T210000Z
DTSTAMP:20260423T052447Z
UID:MITLie/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/57/">
 Hessenberg varieties and the geometric modular law</a>\nby Eric Sommers (U
 Mass) as part of MIT Lie groups seminar\n\nLecture held in 2-142.\n\nAbstr
 act\nHessenberg varieties are fibers of certain proper maps to a simple Li
 e algebra. These maps are generalizations of the Springer and Grothendieck
 -Springer resolutions. In this talk\, we describe some new properties of n
 ilpotent Hessenberg varieties. In particular\, we show that their cohomolo
 gy satisfies a modular law as we vary the maps. This law generalizes one o
 f De Concini\, Lusztig\, and Procesi and coincides with a combinatorial la
 w of Guay-Paquet and Abreu-Nigro in type A. We also study the push-forward
  of the constant sheaf of these maps and show that only intersection cohom
 ology sheaves with local systems coming from the Springer correspondence a
 ppear in the decomposition\, resolving a conjecture of Brosnan. This is jo
 int work with Martha Precup.\n
LOCATION:https://researchseminars.org/talk/MITLie/57/
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