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


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.