Speaker: Sergey Galkin

Title: Lines and pairs of points on cubics

Date: Sep 5, 2013, 11:15-12:00

Place: MPIM Lecture Hall, Bonn

I'll talk about a joint work with Evgeny Shinder. We establish a relation between a variety of lines and a symmetric square of a cubic hypersurface. The relation holds in the Grothendieck ring of varieties, so in particular it proves there are 27 lines on smooth cubic surface (and some other numbers for surfaces with singularities), computes Hodge numbers for varieties of lines, etc.