COLLOQUIUM
DEPARTMENT OF MATHEMATICS AND STATISTICS
OAKLAND UNIVERSITY
ROCHESTER, MICHIGAN 48309
Daniel Erman
University of Michigan
The Structure of Free Resolutions
Abstract
The study of free resolutions over a polynomial
ring is essentially the study of matrices with polynomial entries. As
such, free resolutions provide an important tool in algebraic geometry and
commutative algebra. In 2006, Boij and Soederberg offered a collection of
remarkable conjectures (proven by Eisenbud--Schreyer and others) about the
possible structure of free resolutions. This collection of ideas is now
known as Boij--Soederberg Theory, and I will give an overview of this theory and
some recent generalizations.
Tuesday, November 22, 2011
3:00– 4:00 P.M.
372 Science and Engineering Building
(Refreshments at 2:30-3:00 PM in the kitchen area adjacent to 368 SEB)