报告人：张涵 副教授 (苏州大学)

时间：2025年11月03日  16:30-

地点: 理科楼LA104

摘要：Khintchine's theorem is a fundamental theorem in Diophantine approximation. Via Dani's correspondence between Diophantine approximation and homogeneous dynamics, Kleinbock-Margulis found a dynamical proof of the classical Khintchine theorem. The work of Kleinbock-Margulis has inspired a lot of  progress in generalizing the classical Khintchine theorem to manifolds and fractals based on dynamical tools.  In this talk, I will give a brief survey of these results. In particular, I will discuss our recent joint work with Timothée Bénard and Weikun He on Khintchine's theorem for self-similar measures, along with an effective equidistribution theorem for expanding translates of fractal orbits.

邀请人：数学研究中心

欢迎广大师生积极参与！