DATE2023-05-25 16:10-17:00

PLACE數學系館 1F3174教室

SPEAKER傅斯緯 教授(國立台灣大學數學系

TITLEFlat Surface Deformations: 2D Geometry and Dynamics

ABSTRACT The study of Riemann surfaces and quasiconformal maps led to interests in flat surfaces. A flat surface can be obtained by a more traditional method: gluing 2D polygons together. The 2D viewpoint allowed for plenty of low tech topics to be connected and studied together. Billiards, interval exchange, hyperbolic geometry, three manifolds, length rigidity, and ergodicity are the topics I plan to briefly mention through out this talk. The goal of the talk is to introduce measured foliations and grafting rays to give structure to the space of flat surfaces. The talk will be accessible to undergraduate level students. 中文演講,大學生程度導向。