Seminars and Colloquia by Series

Hypergeometric functions: the GKZ-perspective

Series
Algebra Seminar
Time
Monday, March 2, 2009 - 15:00 for 1 hour (actually 50 minutes)
Location
Skiles 269
Speaker
Uli WaltherPurdue University
Starting with some classical hypergeometric functions, we explain how to derive their classical univariate differential equations. A severe change of coordinates transforms this ODE into a system of PDE's that has nice geometric aspects. This type of system, called A-hypergeometric, was introduced by Gelfand, Graev, Kapranov and Zelevinsky in about 1985. We explain some basic questions regarding these systems. These are addressed through homology, combinatorics, and toric geometry.

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