Mini-course: When Topology forces Dynamics by Boyland and Hall (3-5 kwietnia)

We cordially invite you to attend Mini-course: When Topology forces Dynamics (Simons Semester satellite event) presented by Philip Boyland (University of Florida) and Toby Hall
(University of Liverpool).

The lectures will take place in the Faculty of Mathematics and Computer Science of the Jagiellonian University in Kraków, ul. Łojasiewicza 6

The schedule
Monday, April 3, 10-12 room 1094
Tuesday, April 4, 10-12 room 1093
Wednesday, April 5, 12-14 room 0004

Abstract:
We study situations in which topological considerations such as the action on homology or the fundamental group reveal a great deal about the dynamics of a system. From another point of view, this is the study of dynamics which are preserved by large perturbations in the same homotopy class. Often such theorems start with a model system with well-understood but complicated dynamics and then it is shown that most or all its dynamics are preserved under homotopy. In this some form of hyperbolicity at some scale is essential. Topics will include: The fixed point index, Lefschetz formula, Nielsen Theory, Franks and Handel homotopy stability theorems, pseudoAnosov maps, and applications to the partial order on braid types, rotation sets and fluid mixing.

There is no registration.

Best regards
Jan Boroński, Dominik Kwietniak