Dynamical Systems Seminar

Title: Circle averages on translation surfaces.
Speaker: Jon Chaika
Speaker Info: University of Utah
Brief Description:
Special Note:

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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