Presented By: Department of Mathematics
RTG Seminar on Geometry, Dynamics and Topology Seminar
Introduction to Duke's theorem
This will be the first lecture in a series around Duke's (Linnik-Skubenko) celebrated theorem regarding equidistribution of packets of closed geodesics in the modular surface.
After recalling the previous background material covered by Ralf and Mitul, I will give a brief intro about the analytic approaches to Duke's theorem (Duke's original proof based on Iwaniec's estimates and the modern approach - based on Waldspurger's formula). This part will be very brief, as I am not an expert on the subject.
Then I will set the stage for the ingredients in the dynamical proof of the theorem by Einsiedler-Lindenstrauss-Michel-Venkatesh, namely I will start discussing the topics of metric entropy, estimates related to Bowen balls and Linnik's basic lemma.
This sell be on zoom: umich.zoom.us/j/92258297975
no password needed.
Speaker(s): Asaf Katz (U Michigan)
After recalling the previous background material covered by Ralf and Mitul, I will give a brief intro about the analytic approaches to Duke's theorem (Duke's original proof based on Iwaniec's estimates and the modern approach - based on Waldspurger's formula). This part will be very brief, as I am not an expert on the subject.
Then I will set the stage for the ingredients in the dynamical proof of the theorem by Einsiedler-Lindenstrauss-Michel-Venkatesh, namely I will start discussing the topics of metric entropy, estimates related to Bowen balls and Linnik's basic lemma.
This sell be on zoom: umich.zoom.us/j/92258297975
no password needed.
Speaker(s): Asaf Katz (U Michigan)
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