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SUMMARY:Balazs Szendroi (University of Oxford\, UK)
DTSTART:20200604T120000Z
DTEND:20200604T130000Z
DTSTAMP:20260423T005805Z
UID:LAGOON/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/4/">H
 ilbert schemes of points on singular surfaces: combinatorics\, geometry\, 
 and representation theory</a>\nby Balazs Szendroi (University of Oxford\, 
 UK) as part of Longitudinal Algebra and Geometry Open ONline Seminar (LAGO
 ON)\n\n\nAbstract\nGiven a smooth algebraic surface S over the complex num
 bers\, the Hilbert scheme of points of S is the starting point for many in
 vestigations\, leading in particular to generating functions with modular 
 behaviour and Heisenberg algebra representations. I will explain aspects o
 f a similar story for surfaces with rational double points\, with links to
  algebraic combinatorics and the representation theory of affine Lie algeb
 ras. I will in particular recall our 2015 conjecture concerning the genera
 ting function of the Euler characteristics of the Hilbert scheme for this 
 singular case\, and aspects of more recent work that lead to a very recent
  proof of the conjecture by Nakajima. Joint work with Gyenge and Nemethi\,
  respectively Craw\, Gammelgaard and Gyenge.\n
LOCATION:https://researchseminars.org/talk/LAGOON/4/
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