Colloquium - Kyungyong Lee

Date: February 2, 2015

Time: 4:00PM - 5:00PM

Location: BLOC 220

Speaker: Kyungyong Lee, Wayne State University

Description:

Title : Positivity for Cluster Algebras

Abstract :
Cluster algebras were discovered by Fomin and Zelevinsky in 2001. Since then, they have been shown to be related to diverse areas of mathematics and physics such as Total positivity, Quiver representations, String theory, Statistical physics, Non-commutative geometry, Teichm\"uller theory, Hyperbolic geometry, Tropical geometry, KP solitons, Integrable systems, Quantum mechanics, Lie theory, Algebraic combinatorics, Number theory and Poisson geometry.
We introduce cluster algebras and their remarkable properties. Positivity is a central theme in this field. In joint work with Ralf Schiffler, we prove the positivity conjecture. In this talk we briefly sketch an idea of the proof.