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.