Algebraic Geometry Seminar

Date: Friday, Jan 27, 2012

Time: 3:30PM - 4:30PM

Location: LCB 222

Friday, 3:30pm LCB 225

Morgan Brown

University of California, Berkeley

Title	Singularities of Cox Rings of Fano Varieties
Abstract	The Cox Ring of an algebraic variety is a generalization of the homogeneous coordinate ring of a projective variety. I will give an introduction to Cox Rings and how they are used in birational geometry, as well as some ideas from the minimal model program, with the aim of showing that the Cox ring of a Fano variety over the complex numbers is Gorenstein.

Algebraic Geometry