Graduate Geometry Seminar

Speaker: 
Shrey Sanadhya
Topic: 
"Siegel Veech transforms and asymptotic formulas on flat surfaces"

Abstract:
Counting saddle connections on a flat surface is an important problem in dynamics. In this talk I will discuss Siegel-Veech transform on connected component of stratum of translation surfaces and how its used to count saddle connections. We will discuss some asymptotic formulas for counting cylinders and saddle connections by Eskin and Masur. Veech proved that S-V transforms are in $L^1$. Recently that result has been extended by Athereya-Cheung-Masur. They showed S-V transforms are in $L^2$. If time permits we will also discuss how finding mean value on spaces of lattice around 1950's provided motivation for this work. 

Event Date: 
February 18, 2019 - 3:30pm to 4:30pm
Location: 
B13 MLH
Calendar Category: 
Seminar
Seminar Category: 
Geometry and Topology