Dynamics and Analysis Seminar, Dale Winter (Yale): 'Uniform exponential mixing for finitely generated subgroups of SL_2(Z) and applications'

Tuesday, October 28, 2014
12:00 PM - 1:00 PM (ET)
ESC 638
Event Type
Academic Calendar
Contact
David Constantine, x2167
Department
Math CS DnA Seminar
Link
https://eaglet.wesleyan.edu/MasterCalendar/EventDetails.aspx?EventDetailId=63371

Abstract: Mixing properties of geodesic flows on hyperbolic surfaces are known to have consequences in many different areas of mathematics, including representation theory, spectral theory and affine sieve. Often we require very precise mixing results, such as exponential error terms which are valid uniformly for congruence covers. I'll outline some of these applications, and then describe an approach to proving uniform exponential mixing by combining the theory of expander graphs with the techniques from hyperbolic dynamics. This is joint work with Hee Oh.

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