Number Theory

Title: Mirror symmetry for minuscule flag varieties
Speaker: Nicolas Templier
Speaker Info: Cornell University
Brief Description:
Special Note:

We prove cases of Rietsch mirror conjecture that the Dubrovin-Givental quantum connection for projective homogeneous varieties is isomorphic to the pushforward D-module attached to Berenstein-Kazhdan geometric crystals. The idea is to recognize the quantum connection as Galois and the geometric crystal as automorphic. The isomorphism then comes from global rigidity results where a Hecke eigenform is determined by its local ramification. We reveal relations with the works of Gross, Frenkel-Gross, Heinloth-Ngo-Yun and Zhu on Kloosterman sheaves. Work with Thomas Lam.
Date: Monday, April 10, 2017
Time: 4:00PM
Where: Lunt 107
Contact Person: Yifeng Liu
Contact email: liuyf@math.northwestern.edu
Contact Phone:
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