Syzygies of Segre-Veronese varieties -- Claudiu Raicu, March 23, 2012

I will describe a combinatorial/topological approach to the study of the syzygies of projective embeddings of products of projective spaces. Roughly speaking, these syzygies are controlled by the homology groups of certain simplicial complexes, which I'll call Segre-Veronese complexes. I will discuss a variation on a representation theoretic notion of stabilization introduced by Church and Farb, and explain how the homology groups of Segre-Veronese complexes satisfy this stabilization property.