Seminar Event Detail

RTG Seminar on Geometry, Dynamics and Topology

Date:  Wednesday, November 20, 2019
Location:  3866 East Hall (4:00 PM to 5:30 PM)

Title:  Ilya Khayutin (Northwestern): Periodic Geodesics on the Modular Curve: From Linnik to Duke

Abstract:   The complex modular curve is a non-compact hyperbolic surface that plays a fundamental role in number theory and homogeneous dynamics. The periodic geodesics on the modular curve carry important information about real quadratic fields and their class groups. I will introduce these objects and will discuss two perspectives on the equidistribution of packets of closed geodesics: a dynamical approach going back to Linnik in the 50's and a harmonic analytic approach which culminates in Duke's theorem from the 80's.

Files: 6144_

Speaker:  Ilya Khayutin
Institution:  Northwestern

Event Organizer:   Alex Wright   


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