Derived Equivalence and the Picard Variety

Tuesday, September 28, 2010 -
4:30pm to 6:30pm
I will explain a result, joint with Mihnea Popa, saying that if two smooth projective varieties have equivalent derived categories of coherent sheaves, then their Picard varieties are isogeneous; in particular the number of independent holomorphic one-forms is a derived invariant. A consequence of this is that derived equivalent threefolds have the same Hodge numbers.
Speaker: 
Christian Schnell
University of Illinois at Chicago (UIC)
Event Location: 
Fine Hall 322