Seminar Event Detail


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.

Files:


Speaker:  Michael Shapiro
Institution:  Michigan State University

Event Organizer:   Sergey Fomin   

 

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