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SUMMARY:Derived equivalences of Azumaya algebras on K3 surfaces - Khalid\,
  M (St. Patrick's College Drumcondra)
DTSTART:20110630T134000Z
DTEND:20110630T141000Z
UID:TALK31951@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider moduli spaces of Azumaya algebras on K3 surfaces. 
 These correspond to twisted sheaves. We prove that when _(A) is zero and c
 2(A) is within 2r of its minimal bound\, where r2 is the rank of A\, then 
 the moduli space if non empty is a smooth projective surface. We construct
  a moduli space of Azumaya algebras on the double cover of the projective 
 plane. In some other special cases we prove a derived equivalence between 
 K3 surfaces and moduli spaces of Azumaya algebras.\n
LOCATION:Seminar Room 1\, Newton Institute
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