Speaker: Sergey Galkin

Title: Exceptional collections of four line bundles on Beauville's quotient-product surface

Date: Sep 14, 2012, 14:00 - 15:00

Place: Steklov Mathematical Institute

Abstract:
Beauville constructed surface of general type with p_g = 0, K^2= 8 and
hence Euler number four. We show that exactly 39 line bundles on this
surface are acyclic. Moreover, up to twist there are 6 exceptional
collections of four line bundles. An orthogonal to any such collection is
yet another example of quasi-phantom - non-trivial category with vanishing
Hochschild homology. This is joint work with Evgeny Shinder.