Positivity results for cluster algebras from surfaces

Lauren Williams

Harvard University

Brandeis University

Thursday, April 2, 2009

Talk at 4:30 p.m. in 317 Goldsmith Hall

Tea at 4:00 p.m. in 300 Goldsmith Hall

Abstract: I will start by giving a gentle introduction to the cluster algebras of Fomin and Zelevinsky. Then I will explain recent results giving combinatorial formulas for cluster variables in any cluster algebra arising from a triangulated surface, as well as some cluster algebras obtained by "folding." This proves the positivity conjecture of Fomin and Zelevinsky for all such cluster algebras, including all (non-exceptional) finite and affine types. This is joint work with Gregg Musiker and Ralf Schiffler.

Home Web page: Alexandru I. Suciu Posted: March 19, 2009
Comments to: URL: