Speaker – Kai Fu, University of Bordeaux
Time: 15th.8, 11:00
Location: Room – 1710, SIMIS
Zoom Meeting ID: 844 0594 7424 (Passcode: 076895)
Abstract:
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 sketch the main ideas of the proof.
Description of speaker
Dr. Kai Fu obtained his PhD in mathematics from the University of Bordeaux (Institut de Mathématiques de Bordeaux) in July 2025, under the supervision of Vincent Delecroix and Elise Goujard. Beginning in October 2025, he will be a postdoctoral researcher in the group of Anna Wienhard at the Max Planck Institute for Mathematics in Leipzig. His research focuses on flat surfaces, moduli spaces, and counting problems related to saddle connections and geodesics.
English 
简体中文