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Department of Mathematics,
University of California San Diego

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Lie Groups/Representation Theory Seminar

Andrei Zelevinsky

Northeastern University

Double Bruhat cells and cluster algebras

Abstract:

We will discuss geometric properties of double Bruhat cells and their totally positive parts in complex semisimple groups. The ideas and results to be discussed were influenced by the work of G.Lusztig and obtained jointly with A.Berenstein, S.Fomin, B. and M.Shapiro, and A.Vainshtein. These ideas provided the groundwork for the theory of cluster algebras.

Host: Nolan Wallach

February 7, 2006

2:00 PM

AP&M 7218

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