4:00 pm Tuesday, April 5, 2011
Algebraic Geometry Seminar: Local Structure of the Compactified Jacobian
by
Jesse Kass (University of Michigan ) in HB 227
The Jacobian variety of a non-singular curve is a basic tool in algebraic geometry, and a fundamental question is: "How to extend this construction to singular curves?" Starting with work of Igusa in the 1950's, a great deal of effort has gone into answering this question. Today we have a detailed understanding of how to assign a degenerate Jacobian to a singular curve, but our understanding of the geometry of the resulting object is less extensive. In my talk, I discuss work on the local geometry of the Caporaso-Pandharipande degenerate Jacobian. This work is joint with Sebastian Casalaina-Martin and Filippo Viviani. Host Department: Rice University-Mathematics Submitted by evanmb@rice.edu |