Department of Mathematics

Seminar in Cluster algebras

  •  Li Li, Oakland University
  •  Positivity and combinatorics of some bases of cluster algebras
  •  10/11/2016
  •  1:00 PM - 1:50 PM
  •  C304 Wells Hall

Lots of research of cluster algebras focuses on construction of their natural bases. A desirable property of a good basis is that all elements are universally positive and that all structure constants are positive. In this talk, I will survey some bases that have this property. In particular, I will talk about the theta function bases constructed by Gross, Hacking, Keel and Kontsevich using scattering diagrams and broken lines, and give an explicit combinatorial description of these broken lines in special cases.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science