Complex Analysis, Geometry, and Dynamics

 

This is mostly a student seminar targeting on promoting the understanding of various research directions in the area of complex analysis, geometry, and dynamics and related fields. Usually, each meeting consists of two talks, with the first focusing on basic materials for undergraduate students, and the second on introduction of research directions. All are welcomed to attend.

Organizers: Zhiqiang Li

 


Speakers:

 

September 1 2023 – Ranfeng Yu (俞然枫) (Peking University)

Time: 3:00-4:00pm (Beijing Time)    Location: Room 1114, Science Building 1, Peking University

Title: Lipschitz embeddings of random binary sequences

Abstract: Basu and Sly proved in 2014 the almost sure existence of Lipschitz embeddings between random binary sequences. This talk briefly introduces their ideas and methods and discusses possible applications in related problems.

 

September 8 2023 – Yiqing Sun (孙亦青) (Peking University)

Time: 1:00-2:00pm (Beijing Time)    Location: Room 1569, Science Building 1, Peking University

Title: Basic concepts in ergodic theory and ergodic optimization

Abstract: Ergodic theory studies statistical properties of deterministic dynamical systems where statistical properties refer to properties expressed by the time averages of functions. Ergodic theorems connect ‘time average’ with ‘space average’, which leads to the study of invariant measures. The newly developed branch, ergodic optimization, focuses on the maximal time/space average and maximizing (invariant) measures.

 

September 8 2023 – Xiaolong Xiao (韩肖垄) (Tsinghua University)

Time: 2:00-3:00pm (Beijing Time)    Location: Room 1569, Science Building 1, Peking University

Title: Ergodic optimization and Best Laminations on Hyperbolic surfaces

Abstract: After briefly reviewing fundamental notions on hyperbolic geometry such as geodesic laminations, we talk about the maximally stretched laminations for circle-valued map by Daskalopoulos-Uhlenbeck and how ergodic optimation might clarify their structure which have other applications to analysis and fibrations. 

 

September 16 2023 – Jinru Bai (白锦儒) (Peking University)

Time: 2:00-3:00pm (Beijing Time)    Location: Quan 29, BICMR, Peking University

Title: Basics of ergodic theory I

 

September 16 2023 – Xiaoran Li (李骁然) (Peking University)

Time: 3:00-4:00pm (Beijing Time)    Location: Quan 29, BICMR, Peking University

Title: Ergodic theory of correspondences I

 

September 23 2023 – Jinru Bai (白锦儒) (Peking University)

Time: 2:00-3:00pm (Beijing Time)    Location: Quan 29, BICMR, Peking University

Title: Basics of ergodic theory II

 

September 23 2023 – Xiaoran Li (李骁然) (Peking University)

Time: 3:00-4:00pm (Beijing Time)    Location: Quan 29, BICMR, Peking University

Title: Ergodic theory of correspondences II

 

September 30 2023 – Yao Ma (马尧) (Peking University)

Time: 2:00-3:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Introduction to thermodynamical formalism 

 

September 30 2023 – Xiaoran Li (李骁然) (Peking University)

Time: 3:00-4:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Ergodic theory of correspondences III

 

October 7 2023 – Fengling Chen (陈风凌) (Peking University)

Time: 2:00-3:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Introduction to complex analysis I 

 

October 7 2023 – Ruicen Qiu (丘瑞) (Peking University)

Time: 3:00-4:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Introduction to Sullivan’s dictionary I

 

October 14 2023 – Fengling Chen (陈风凌) (Peking University)

Time: 2:00-3:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Introduction to coarse geometry

 

October 14 2023 – Ranfeng Yu (余然枫) (Peking University)

Time: 3:00-4:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Interaction between coarse geometry and probability

 

October 28 2023 – Yijie Bi (毕一介) (Peking University)

Time: 2:00-3:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Introduction to complex analysis I

 

October 28 2023 – Yuke An (安宇珂) (Peking University)

Time: 3:00-4:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Computation of Thurston pullback map I

 

November 4 2023 – Yijie Bi (毕一介) (Peking University)

Time: 2:00-3:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Introduction to complex analysis II

 

November 4 2023 – Yuke An (安宇珂) (Peking University)

Time: 3:00-4:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Computation of Thurston pullback map II

 

November 11 2023 – Xianghui Shi (时向辉) (Peking University)

Time: 2:00-4:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Thurston maps

 

November 11 2023 –Qiandu He (何芊杜) (Peking University)

Time: 2:00-4:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Thurston maps

 

November 25 2023 – Ruicen Qiu (丘瑞) (Peking University)

Time: 2:00-4:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Eliminating Thurston obstructions and controlling dynamics on curves

 

December 2 2023 – Boyi Xu (徐博翌) (Peking University)

Time: 2:00-3:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Milnor chapter 3

 

December 2 2023 – Zhengbo Qu (曲诤博) (Peking University)

Time: 3:00-4:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Benjamniny-Schramm

 

December 9 2023 – Yuan Lu (路原) (Peking University)

Time: 2:00-3:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Brin-Stuck chapter 1

 

December 9 2023 – Jinru Bai (白锦儒) (Peking University)

Time: 3:00-4:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Visual spheres of expanding Thurston maps

 

December 16 2023 – Yao Ma (马尧) (Peking University)

Time: 2:00-3:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Milnor chapter 4

 

December 16 2023 – Hanyun Zheng (郑寒云) (Peking University)

Time: 3:00-4:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Uniform quasiregular mapping

 

December 23 2023 – Ziru Niu (牛子儒) (Peking University)

Time: 2:00-3:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Brin-St23uck chapter 2

 

December 23 2023 – Zelai Hao (郝泽来) (Peking University)

Time: 3:00-4:00pm (Beijing Time)    Location: BICMR 77201, Peking University

Title: Ergodic Optimization for beta-expansions

 

 

 

 

Last Updated: 

12/23/2023