Geometry/Physics Seminar

Title: Analytic continuation of solutions of GKZ system and homological mirror symmetry
Speaker: Professor Lev Borisov
Speaker Info: University of Wisconsin-Madison
Brief Description:
Special Note:

GKZ hypergeometric system is a certain explicit system of PDEs associated to a finite set of lattice points. Given a triangulation of the convex hull of this set, with the points as vertices, one can construct solutions of GKZ hypergeometric system, indexed by the (dual of) the K-theory of the corresponding toric Deligne-Mumford stack. It turns out that the analytic continuation between adjacent triangulations corresponds to the pullback-pushforward isomorphism of the corresponding K-theories. This is recent joint work with Paul Horja. I will aim to keep the talk accessible to graduate students in geometry.
Date: Thursday, November 17, 2005
Time: 2:30pm
Where: Lunt 107
Contact Person: Prof. Chiu-Chu Melissa Liu
Contact email: ccliu@math.northwestern.edu
Contact Phone: 847-467-1874
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