DIS

Abstract

I am going to discuss the Yang-Baxter maps in connection with actions of the braid groups. These two closely related themes are often mixed up, so I would like to emphasize the dierence between them using an interesting example of the braid dynamics related to Markov numbers. This example had recently appeared in dierent contexts in the theory of Frobenius manifolds, Painleve-VI equation and Teichmueller spaces.