Geometry/Physics Seminar

Title: Configurations, potentials, components and canonical bases
Speaker: Linhui Shen
Speaker Info: Northwestern University
Brief Description:
Special Note:

Let $G$ be a split reductive group over $\mathbb{Q}$. We introduce a rational function $W$ on the configuration space $X:=G\backslash (G/U)^n$. By the machinery of tropicalization, it determines a set of $W$-positive tropical points of $X$. We show that the set parametrizes top components of the affine Grassmannian convolution variety. By the geometric Satake Correspondence, it parametrizes a basis in the tensor product invariants of representations of the Langlands dual group. As an application, it proves a conjecture of Joel Kamnitzer. If time permits, I will talk about its generalization to surface cases. This is a joint work with Alexander Goncharov.
Date: Thursday, November 20, 2014
Time: 4:00pm
Where: Lunt 107
Contact Person: Michael Couch
Contact email: mcouch@math.northwestern.edu
Contact Phone:
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