Siegel-Veech transform
Speaker: Sayantan Khan
Date: Tue, Oct 11, 2022
Location: Zoom
Conference: Online working seminar in Ergodic Theory, University of Utah Seminar in Ergodic Theory
Subject: Mathematics
Class: Scientific
Date: Tue, Oct 11, 2022
Location: Zoom
Conference: Online working seminar in Ergodic Theory, University of Utah Seminar in Ergodic Theory
Subject: Mathematics
Class: Scientific
Abstract:
In this talk, I will talk about the Siegel-Veech transform, and how it can be used to count the number of cylinders (of bounded length) on a translation surface. This counting result relies amongst other tools, on the ergodicity of the SL(2, R) action on the moduli space of translation surfaces. This talk will not assume prior knowledge of translation surfaces, and most of the techniques used will be techniques coming from homogeneous dynamics.
