Algebraic Geometry and Combinatorics Seminar: Singularities of Secant varieties
Speaker: Debaditya Raychaudhury, The University of Arizona
Abstract: Secant varieties are classical objects in algebraic geometry. Given a smooth projective variety inside a projective space, its secant variety is by definition the closure of the union of secant lines. It is almost always singular and sits inside the same projective space by its construction. In this talk, we will discuss the singularities of secant varieties when the embedding is sufficiently positive. In particular, we will study the Du Bois complex of secant varieties and will also discuss about its local cohomology modules. The results are obtained in various collaborations with Q. Chen, B. Dirks, S. Olano and L. Song.
Host: Matt Kerr