## EVENT DETAILS AND ABSTRACT

**Dynamical Systems Seminar**
**Title:** Circle averages on translation surfaces.

**Speaker:** Jon Chaika

**Speaker Info:** University of Utah

**Brief Description:**

**Special Note**:

**Abstract:**

Consider a flat torus. If you flow at a fixed rate simultaneously in every direction from a fixed point, you will get a sequence of "circles" that equidistribute on that surface. Translation surfaces are generalizations of tori and one can ask the same question. Flow for time T in all directions from p. Do these "circles" equidistribute? This talk will present progress on this problem: For almost every surface (with respect to any SL(2,R) invariant measure) the answer is yes except possibly on a set of density 0 (that can depend on the point). The full question remains open and I'll state some other open problems. Relevant terminology will be defined. This is joint work with P. Hubert.

**Date:** Tuesday, January 26, 2016

**Time:** 4:00pm

**Where:** Lunt 104

**Contact Person:** Prof. Bryna Kra

**Contact email:** kra@math.northwestern.edu

**Contact Phone:** 847-491-5567

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