Geometry/Physics Seminar

Title: Cluster Algebras, Poisson Geometry and Integrable Systems
Speaker: Professor Michael Gekhtman
Speaker Info: University of Notre Dame
Brief Description:
Special Note:

A notion of a cluster algebra introduced by Fomin and Zelevinsky was motivated by a study of dual canonical bases and the total positivity in reductive groups. For example, coordinate rings of Double Bruhat cells in flag varieties and Grassmannians possess a cluster algebra structure. I will talk about a joint work with M. Shapiro and A. Vainshtein, in which we introduced a Poisson variety compatible with a given cluster algebra structure and computed a number of connected components in the union of generic symplectic leaves. Examples will include refined open Bruhat cells in real Grassmannians, and Teichmueller spaces.
Date: Thursday, February 02, 2006
Time: 4:00pm
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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