Departmental Colloquium
Laura Matusevich
Texas A \& M
Hypergeometric equations and algebraic geometry
Abstract: The systematic study of hypergeometric functions and differential
equations in one variable was originated by Euler and Gauss over two
hundred years ago. The higher dimensional case also has a distinguished
history. For instance, it is a theorem of Mellin that the roots of a
polynomial are hypergeometric functions of its coefficients. It has been
noted in the last 20 years, following ideas of Gelfand, Graev, Kapranov
and Zelevinsky, that tools from algebraic geometry are relevant and useful
in the study of hypergeometric equations; the goal of this talk is to
illustrate this phenomenon. I will mention joint results with Christine
Berkesch, Alicia Dickenstein, Ezra Miller, Timur Sadykov and Uli Walther.
Friday November 7, 2008 at 3:00 PM in SEO 636