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Derived equivalences of Azumaya algebras on K3 surfaces

Presented by: 
M Khalid St. Patrick's College Drumcondra
Date: 
Thursday 30th June 2011 - 14:40 to 15:10
Venue: 
INI Seminar Room 1
Abstract: 
We consider moduli spaces of Azumaya algebras on K3 surfaces. These correspond to twisted sheaves. We prove that when _(A) is zero and c2(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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons