Secant varieties of Veronese embeddings

Tuesday, April 18, 2017 -
4:30pm to 5:30pm
Given a projective variety X over a field of characteristic 0, and a positive integer r, we study the rth secant variety of Veronese re-embeddings of X. In particular, I'll explain recent work which shows that the degrees of the minimal equations (and more generally, syzygies) defining these secant varieties can be bounded in terms of X and r independent of the Veronese embedding. This is based on arXiv:1510.04904 and arXiv:1608.01722.
Speaker: 
Steven Sam
University of Wisconsin, Madison
Event Location: 
Fine Hall 322