|Date: Friday, February 08, 2013
Location: 3866 East Hall (4:10 PM to 5:00 PM)
Title: Growth rate classification for cluster algebras
Abstract: The growth rate function of a cluster algebra counts the number of cluster variables that can be obtained from the initial cluster in a given number of steps. We classify cluster algebras according to whether their growth rate is bounded, polynomial, or exponential. In particular, we show that all exceptional non-affine mutation-finite cluster algebras have exponential growth.
This is joint work with A. Felikson, H. Thomas, and P. Tumarkin.
Speaker: Michael Shapiro
Institution: Michigan State University
Event Organizer: Sergey Fomin