|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.
Speaker: Ilya Khayutin
Event Organizer: Alex Wright