Online info
Organising and Scientific Committee
Thierry De Pauw (East China Normal University)
Fanghua Lin (New York University)
Dong Ye (East China Normal University)
Time Table
 Friday 12/04 Saturday 12/05 Sunday 12/06 09:00 - 10:00 Hua Bobo 10:00 - 11:00 Yang Xiaoping Lin Haibo 11:00 - 12:00 Feng Dejun Menne Ulrich 13:00 - 14:00 Takasao Keisuke Fang Yangqin 15:30 - 16:30 Li Wenxia 14:00 - 15:00 Wang Kelei Yang Ling 16:30 - 17:30 Yin Hao 15:00 - 16:00 Rao Hui Liang Xiangyu 17:30 - 18:30 Tolsa Xavier 16:20 - 17:20 Tolsa Xavier Tolsa Xavier

Meeting Topic: Workshop in Geometric Measure Theory, Shanghai 1/3
Meeting Time: 2020/12/4 15:00-20:00 (GMT+08:00) China Standard Time - Shanghai

https://voovmeeting.com/s/kdA0Eg0dede1

Meeting ID: 514 068 238

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Meeting Topic: Workshop in Geometric Measure Theory, Shanghai 2/3
Meeting Time: 2020/12/5 08:30-18:00 (GMT+08:00) China Standard Time - Shanghai

https://voovmeeting.com/s/PhKOHuoYvELv

Meeting ID: 424 096 075

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Meeting Topic: Workshop in Geometric Measure Theory, Shanghai 3/3
Meeting Time: 2020/12/6 09:30-18:00 (GMT+08:00) China Standard Time - Shanghai

https://voovmeeting.com/s/0xDuH0C4lZtB

Meeting ID: 481 005 486

Lecture series
Xavier Tolsa (ICREA - Universitat Autonoma de Barcelona)
Square functions and rectifiability

In this series of lectures we will review different characterizations of rectifiability and uniform rectifiability in terms of different square functions. This line of research was initiated by Peter Jones in 1990 with his celebrated traveling salesman theorem about the beta-numbers, and it was continued by Guy David and Stephen Semmes in their works on uniform rectifiability.

Besides the Jones' square function and its $L^p$-variants, we will review other square functions, like the one in terms of transportation type coefficients (the $\alpha$-numbers), which is specially well suited for the study of singular integral operators acting on rectifiable sets.

Another objective of these lectures is to describe the main ideas of the recent solution of Carleson's $\epsilon^2$-conjecture by Jaye, Tolsa, and Villa about the characterization of tangent points of a Jordan curve in terms of the so-called $\epsilon^2$-square function.

Speakers
Fang Yangqin (Huazhong University of Sciences and Technology)
Feng Dejun (The Chinese University of Hong Kong)
Hua Bobo (Fudan University)
Li Wenxia (East China Normal University)
Yin Hao (University of Science and Technology of China)
Contact
Ms. Hongyan Zhang
Room 123, Math Building, Minhang campus of ECNU, Shanghai, China 200241
+86 21 54342609    hyzhang@math.ecnu.edu.cn