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SUMMARY:Derived McKay correspondence in dimensions 4 and above - Logvinenk
 o\, T (Warwick)
DTSTART:20110118T113000Z
DTEND:20110118T123000Z
UID:TALK29147@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Given a finite subgroup G of SL_n(C) the McKay correspondence 
 studies the relation between G-equivalent geometry of C^n and the geometry
  of a resolution of Y of C^n/G. In their groundbreaking work\, Bridgeland\
 , Kind\, and Reid have established that for n = 2\,3 the scheme Y = G-Hilb
 (C^n) is a crepant resolution of C^n/G and that the derived category D(Y) 
 is equivalent to the G-equivalent derived category D^G(C^n). It follows th
 at we also have D(Y) = D^G(C^3) for any other crepant resolution Y of C^3/
 G. In this talk\, I discuss possible ways of generalizing this to dimensio
 n 4 and above.\n
LOCATION:Seminar Room 1\, Newton Institute
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