**Title: **Uniqueness and the K-property of equilibrium states for the geodesic flow on translation surfaces

**Speaker:** Benjamin Call – Ohio State University

**Abstract: **In the general setting of CAT(0) spaces, Ricks has provided necessary and sufficient conditions for uniqueness and mixing of the measure of maximal entropy for the geodesic flow. I will discuss recent work establishing uniqueness and the K-property of a class of equilibrium states for the geodesic flow on translation surfaces, a subclass of CAT(0) spaces. This result builds on the orbit-decomposition machinery developed by Climenhaga and Thompson, and is joint work with Dave Constantine, Alena Erchenko, Noelle Sawyer, and Grace Work.

**Zoom link:** https://osu.zoom.us/j/94136097274

**Meeting ID:** 941 3609 7274

**Password:** Mixing

**Recorded Talk: **https://osu.zoom.us/rec/share/G56ox7c5B3dudA9ZO303EvX8VW4Fa_z7sCM4S4tdBDsfe4LfolcLJ8p4TGgVgY-X.nY-n-jPdltDSMOCX