Combinatorics Seminar: From Surfaces to Cluster Algebras and Back: An Ongoing Story

Wednesday, March 8 at 2:00pm to 2:50pm

Kaprielian Hall (KAP), 245
3620 South Vermont Avenue, Los Angeles, CA 90089

Jesse Levitt, USC

Abstract:
In this talk we introduce some of the basics of cluster algebras and discuss a well known correspondence between skewsymmetric cluster algebras of finite mutation type and bordered surfaces with marked points. In the first direction Fomin, Shapiro and Thurston have shown how to associate a cluster algebra to each suitable surface. Conversely, Bucher and Yakimov recently outlined how to efficiently reconstruct a surface from the associated cluster algebra. The goal of the talk will be introducing this fruitful area of research and some interesting questions I plan on examining in an ongoing informal cluster algebra seminar.

Event Type

Lecture / Talk / Workshop

Campus

University Park Campus

Department

Mathematics

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