Combinatorics 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      Edit this event (login required). Add new event (login required). For access requests and instructions, contact math-webmaster@umich.edu Back to previous page Back to UM Math seminars/events page.