报告人：Claire Burrin (University of Zurich)

题目：Pairs of saddle connections

摘要：There is a collection of classical problems at the intersection of number theory and analysis that concern the distribution of lattice or primitive lattice points in their ambient space. In two dimensions, we can think of the set of primitive integer vectors in the plane as describing the set of primitive simple closed geodesics (up to free homotopy) on the two-dimensional torus. In this talk I will explain how counting saddle connections on Veech surfaces stands as a natural‘higher genus’analogue to the classical primitive lattice point counting problem. I will then discuss a recent result (in joint work with Jon Chaika and Samantha Fairchild) on counting pairs of saddle connections.

时间：2023-05-30

地点：Zoom: 825 9309 8083, password: 202303