Registration

To register to the workshop, send an e-mail to **gmtworkshop2020@163.com** containing

**NAME, GENDER, EMAIL ADDRESS, AFFILIATION, ARRIVAL TIME, DEPARTURE TIME**.

**Deadline** for registration: **February 3rd, 2020**

Organising and Scientific Committee

Thierry De Pauw (East China Normal University)

Fanghua Lin (New York University)

Dong Ye (East China Normal University)

Fanghua Lin (New York University)

Dong Ye (East China Normal University)

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

Cheng Tao (East China Normal University)

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)

Liang Xiangyu (Beihang University)

Lin Haibo (China Agricultural University)

Rao Hui (Central China Normal University)

Takasao Keisuke (Kyoto University)

Wang Kelei (Wuhan University)

Wen Zhiying (Tsinghua University)

Yang Ling (Fudan University)

Yang Xiaoping (Nanjing University)

Yin Hao (University of Science and Technology of China)

Accommodation

Address: No. 1, Lane 39, Shangyi Road, Minhang District, Shanghai.

Contact

Ms. Hongyan Zhang

Room 123, Math Building, Minhang campus of ECNU, Shanghai, China 200241

Room 123, Math Building, Minhang campus of ECNU, Shanghai, China 200241

+86 21 54342609
hyzhang@math.ecnu.edu.cn