Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Margulis's banana trick
Speaker: Sundara Narasimhan, TIFR, Mumbai
Date: May 2, 2024
Time: 14:00:00 Hours
Venue: A-369
Abstract: In this talk I will motivate and sketch the proof of the equidistribution of expanding translates of horocycles under the geodesic flow for the modular surface. If time permits I will mention the higher dimensional analogues of this result and mention a few number theoretic applications. All the terms in the abstract will be defined in the talk. The talk will only presume a basic working knowledge of the upper half plane model of the hyperbolic plane and some familiarity with Lie theory. I will be roughly following the exposition of this article: https://metaphor.ethz.ch/x/2018/fs/401-3370-67L/sc/banana.pdf
Title of Talk: Margulis's banana trick
Speaker: Sundara Narasimhan, TIFR, Mumbai
Date: May 2, 2024
Time: 14:00:00 Hours
Venue: A-369
Abstract: In this talk I will motivate and sketch the proof of the equidistribution of expanding translates of horocycles under the geodesic flow for the modular surface. If time permits I will mention the higher dimensional analogues of this result and mention a few number theoretic applications. All the terms in the abstract will be defined in the talk. The talk will only presume a basic working knowledge of the upper half plane model of the hyperbolic plane and some familiarity with Lie theory. I will be roughly following the exposition of this article: https://metaphor.ethz.ch/x/2018/fs/401-3370-67L/sc/banana.pdf