Wednesday, March 8, 2017 at 2:00pm to 2:50pm
Kaprielian Hall (KAP), 245
3620 South Vermont Avenue, Los Angeles, CA 90089
Jesse Levitt, USC
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.