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SUMMARY:Adam Gyenge (University of Oxford)
DTSTART:20200428T130000Z
DTEND:20200428T140000Z
DTSTAMP:20260422T222403Z
UID:WarwickAG/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarwickAG/2/
 ">Hilbert and Quot schemes of simple surface singularities</a>\nby Adam Gy
 enge (University of Oxford) as part of Warwick algebraic geometry seminar\
 n\n\nAbstract\nThe Hilbert schemes of points on the affine complex plane h
 as the structure of a Nakajima quiver variety. For a finite subgroup G of 
 SL(2\, C)\, I will discuss the construction of the Hilbert scheme of n poi
 nts on the Kleinian singularity C^2/G as a Nakajima quiver variety for the
  framed McKay quiver of G with a specific non-generic stability parameter.
  I will also present a formula for the generating series collecting the Eu
 ler numbers of these varieties\, a specific case of which was proved recen
 tly by Nakajima. Given enough time\, I will explain the analogous problem 
 for certain Quot schemes of C^2/G. (Joint work with Alastair Craw\, Soren 
 Gammelgaard and Balazs Szendroi).\n
LOCATION:https://researchseminars.org/talk/WarwickAG/2/
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