学术报告(付凯 2025.8.26)
Siegel–Veech Measures of Convex Flat Cone Spheres
发布人:姚璐
发布日期:2025-08-25
主题
Siegel–Veech Measures of Convex Flat Cone Spheres
活动时间
-
活动地址
震寰堂C418
主讲人
付凯 博士后(Institut de Mathématiques de Bordeaux / Max Plank Institute at Leipzig)
主持人
苏伟旭 教授
摘要:A classical theorem of Siegel gives the average number of lattice points in bounded subsets of R^n. Motivated by this result, Veech introduced an analogue for translation surfaces, now known as the Siegel–
Veech formula. However, no such formula is known for flat surfaces with irrational cone angles. A convex flat cone sphere is a Riemann sphere equipped with a conformal flat metric with conical singularities, all of whose cone angles are less than 2pi. In this talk, I will introduce recent work extending the Siegel–Veech theory to this setting and present the strategy of the proof.