Geometry/Physics Seminar

Title: Hypergeometric functions and homological mirror symmetry
Speaker: Professor Paul Horja
Speaker Info: University of Michigan
Brief Description:

The interplay between the classical subject of hypergeometric functions and toric birational geometry discovered by Gelfand, Kapranov and Zelevinsky in the 1980's provides one of the few tools allowing a direct comparison between mirror Calabi-Yau varieties in toric spaces. I will describe how the theory of hypergeometric functions can be used in homological mirror symmetry to study equivalences of derived categories. I will then discuss some joint work with L. Borisov on how the mirror map naturally requires the consideration of the orbifold Chow ring (introduced by Chen-Ruan and studied recently by Borisov, Chen and Smith) in order to properly account for singularities in the ambient toric space.
Date: Thursday, January 29, 2004
Time: 4:00pm
Where: Lunt 104
Contact Person: Prof. Eric Zaslow
Contact email: zaslow@math.northwestern.edu
Contact Phone: 847-467-6447
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