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Topological recursions for Masur-Veech volumes

来源:复旦大学数学科学学院 | 2019-12-19 | 发布:BOB体育娱乐平台之家

报告题目: Topological recursions for Masur-Veech volumes报 告 人:Gaetan Borot报告人所在单位:Max Planck Institute for Mathematics, Bonn报告日期:2020-01-10 星期五报告时间:10:00-11:00报告地点:光华东主楼1801报告摘要:
Masur and Veech constructed a natural measure with finite mass on the moduli space of meromorphic quadratic differentials of area one with n simple poles on a smooth complex curve of genus g. I will explain that they can be computed by two different topological recursions (i.e. recursions on 2g - 2 + n). The first one exploits the relation of Masur-Veech volumes with asymptotic statistics of simple geodesics on hyperbolic surfaces and the theory of the geometric recursion that I developed with Andersen and Orantin (joint work with Andersen, Charbonnier, Delecroix, Giacchetto, Lewanski, Wheeler). The second one relies on the recent work of Chen, Moeller and Sauvaget who expressed Masur-Veech volumes as the top intersection of a modification of Chiodo's class, and follows from general properties of the topological recursion (joint work with Giacchetto and Lewanski).



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