# 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