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02/08/05 Colloquium

Dr. Laura Matusevich
University of Pennsylvania

Multivariate Hypergeometric Functions

Abstract:   In the late 1980s, Gelfand, Kapranov and Zelevinsky uncovered a connection between the classical hypergeometric functions and the theory of toric varieties. This surprising link to combinatorics and algebraic geometry can be exploited to obtain hypergeometric results. I will give a small survey of GKZ theory, ending in the recent solution (joint with Ezra Miller and Uli Walther) of a conjecture of Sturmfels concerning holonomic ranks of hypergeometric systems.

Dr. Matusevich received the PhD in Mathematics from UC Berkeley in May, 2002. She held a postdoctoral position at MSRI and a Benjamin Peirce Assistant Professorship at Harvard University. Presently, she is an Assistant Professor at the University of Pennsylvania. She has broad research interests that include Combinatorics, Algebraic Geometry, and Tomography.
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