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2025-2026学年华罗庚讨论班报告
发布时间:2025-10-08 点击次数:

报告人:吴云辉  清华大学

时间:10月15日19:30

地点:五教101

题目:Recent developments on Weil-Petersson random hyperbolic surfaces

摘要:In this talk, we report several very recent asymptotic results on certain classical geometric and spectral quantities viewed as random variables on the moduli space of Riemann surfaces for large genus. This subject had been initiated by M. Mirzakhani in 2010. This talk is based on several joint works with Yuxin He and Yuhao Xue.




报告人:谢俊逸  北京大学

时间:10月11日15:30

地点:五教101

题目:复动力系统的乘子谱刚性
摘要:将一个有理映射的周期点的乘子收集起来便得到其乘子谱。McMullen的一个著名结果证明除去一族显然的反例外,相同乘子谱的动力系统只有有些个。同一篇文章中McMullen问一个一般的有理映射是否能通过乘子谱唯一决定这个有理映射。这可以看成是复动力系统中的“听音辨鼓”问题。我与冀诸超合作证明,在模空间的一个低维代数子簇外,有理映射可以被其乘子谱唯一决定。这肯定的回答了McMullen的问题。




报告人:周宇  北京师范大学

时间:9月26日19:30

地点:二教306

题目:Geometric models in algebraic representation theory

摘要:This  talk offers an accessible introduction to algebraic representation  theory. After presenting some basic ideas, I will use simple examples to  demonstrate how to construct geometric models that make abstract  algebra more visual, and how these models can then be applied to address  certain problems.




报告人:Tengren Zhang(新加坡国立大学)

时间:9月15日19:30

地点:五教104

题目: An introduction to Patterson-Sullivan theory for Fuchsian groups

摘要: The aim of this talk is to introduce the notion of Patterson–Sullivan measures in the context of Fuchsian groups. I will begin by motivating the definition through the example of uniform lattices in PSL(2,R), then describe Patterson’s construction of these measures, and conclude with Sullivan’s ergodic dichotomy theorem.




时间:9月8日(周一)上午10:00 

地点:五教5107