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SUMMARY:Ananyo Dan (Sheffield)
DTSTART:20220210T100000Z
DTEND:20220210T110000Z
DTSTAMP:20260423T024804Z
UID:notts_ag/92
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/92/
 ">McKay correspondence for isolated Gorenstein singularities</a>\nby Anany
 o Dan (Sheffield) as part of Online Nottingham algebraic geometry seminar\
 n\n\nAbstract\nThe McKay correspondence is a (natural) correspondence betw
 een the (non-trivial) irreducible representations of a finite subgroup G o
 f SL(2\,C) and the irreducible components of the exceptional divisor of a 
 minimal resolution of the associated quotient singularity C^2//G. A geomet
 ric construction for this correspondence was given by González-Sprinberg 
 and Verdier\, who showed that the two sets also correspond bijectively to 
 the set of indecomposable reflexive modules on the quotient singularity. T
 his was generalised to higher dimensional quotient singularities (i.e.\, q
 uotient of C^n by a finite subgroup of SL(n\,C)) by Ito-Reid\, where the a
 bove sets were substituted by certain smaller subsets. It was further gene
 ralised to more general quotient singularities by Bridgeland-King-Reid\, I
 yama-Wemyss and others\, using the language of derived categories. In this
  talk\, I will survey past results and discuss what happens for the isolat
 ed Gorenstein singularities case (not necessarily a quotient singularity).
  If time permits\, I will discuss applications to Matrix factorization. Th
 is is joint work in progress with J. F. de Bobadilla and A. Romano-Velazqu
 ez.\n
LOCATION:https://researchseminars.org/talk/notts_ag/92/
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