Seminars of Analysis and Geometric Measure Theory

Welcome to the webpage of Analysis and GMT!

Home

Welcome to the Seminars of Analysis and Geometric Measure Theory! This seminar series focuses on cutting-edge research in Partial Differential Equations (PDEs) and Geometric Measure Theory.

This seminar is organized by Wei Wang and his colleagues at Peking University, bringing together researchers and students to explore seminal papers and recent advancements in these fields.

Fall 2025 Seminar

September - December 2025

Overview

In this seminar, we mainly give reports on papers related to the stationary varifolds, Ginzburg-Landau typed functionals, and mean curvature flows.

Attendees

Haotong Fu (Ph.D. candidate, PKU), Huaijie Wang (Postdoctoral fellow, PKU), Wei Wang (Ph.D. candidate, PKU), and Zhifei Zhang (Professor, PKU).

Detailed Schedule

Contents Time Location Speaker
[PS21] by A. Pigati and D. Stern 2025/9/6
14:00-16:30
Room 313, Zhihua Building Wei Wang
[PS21] by A. Pigati and D. Stern 2025/9/13
14:00-17:00
Room 313, Zhihua Building Wei Wang
[PS21] by A. Pigati and D. Stern 2025/9/20
14:00-16:30
Room 313, Zhihua Building Wei Wang
[HT00] by J. E. Hutchinson and Y. Tonegawa 2025/9/27
14:00-16:00
Room 313, Zhihua Building Haotong Fu
[HT00] by J. E. Hutchinson and Y. Tonegawa 2025/10/4
14:00-16:00
Room 313, Zhihua Building Haotong Fu
[HT00] by J. E. Hutchinson and Y. Tonegawa 2025/10/11
14:00-16:30
Room 313, Zhihua Building Haotong Fu

Spring 2025 Seminar

February - June 2025

Overview

In this seminar, we study some important papers in the research of geometric measure theory, analysis, PDEs, and the book "A Course in Minimal Surfaces" by Tobias Holck Colding and William P. Minicozzi (abbreviated as [CM11] in the following table). The reading seminar is held mostly every Thursday and Sunday afternoon, which starts from 14:00 at the Zhihua buildings of Peking University. Occasionally, due to the special schedules of the attendees, the time may change, and the seminar may be held online.

Attendees

Haotong Fu (Ph.D. candidate, PKU), Yuning Liu (Professor, NYU Shanghai), Huaijie Wang (Postdoctoral fellow, PKU), and Wei Wang (Ph.D. candidate, PKU).

Detailed Schedule

Contents Time Location Speaker
[Pac94] by Frank Pacard 2025/2/20
14:00-16:00
Quaternary Hall, Zhihua Building Huaijie Wang
Ch. 1 of [CM11]: The Beginning of the Theory 2025/2/23
14:00-16:00
Room 313, Zhihua Building Haotong Fu
[DS11] by Camillo De Lellis, Emanuele Spadaro 2025/2/27
14:00-17:00
Room 313, Zhihua Building Wei Wang
Ch. 2 of [CM11]: Curvature Estimates and Consequences 2025/3/2
14:00-16:00
Room 313, Zhihua Building Huaijie Wang
[LMSV11] by Camillo De Lellis, Andrea Marchese, et al. 2025/3/6
14:00-16:00
Room 313, Zhihua Building Haotong Fu
Ch. 3 of [CM11]: Weak Convergence, Compactness and Applications 2025/3/9
14:00-16:00
Room 313, Zhihua Building Wei Wang
[Wan14] by Kelei Wang 2025/3/27
14:00-16:00
Room 313, Zhihua Building Huaijie Wang
Ch. 4 of [CM11]: Existence Results 2025/3/30
14:00-16:00
Room 313, Zhihua Building Haotong Fu
A result about Willmore functional 2025/4/1
14:00-17:00
Room 313, Zhihua Building Yuning Liu
Some recent results for harmonic map flows 2025/4/2
9:00-11:00
Room 312, Zhihua Building Wei Wang
[WZ24] by Wei Wang and Zhifei Zhang 2025/4/3
14:00-17:00
Room 313, Zhihua Building Wei Wang
[LS14] by Camillo De Lellis and Emanuele Spadaro 2025/4/24
14:00-16:00
Room 313, Zhihua Building Wei Wang
[HJ24] by Yiqi Huang and Wenshuai Jiang 2025/5/5
14:00-16:00
Room 313, Zhihua Building Wei Wang
[LS16] by Camillo De Lellis and Emanuele Spadaro 2025/5/8
14:00-16:00
Room 313, Zhihua Building Wei Wang
[HJ24] by Yiqi Huang and Wenshuai Jiang 2025/5/11
14:00-16:00
Room 313, Zhihua Building Wei Wang

Fall 2024 Seminar

September - December 2024

Overview

In this seminar, we mainly discuss the book "Introduction to Geometric Measure Theory" by L. Simon (abbreviated as [Sim14] in the following table). We also refer to the book "Measure Theory and Fine Properties of Functions" for additional references. The reading seminar is held mostly every Thursday and Sunday afternoon from 14:00 to 16:00 at the Jiayibing or Zhihua buildings of Peking University. Occasionally, due to the special schedules of the attendees, the time may change, and the seminar may be held online.

Attendees

Haotong Fu (Ph.D. candidate, PKU), Huaijie Wang (Postdoctoral fellow, PKU), and Wei Wang (Ph.D. candidate, PKU).

Detailed Schedule

Contents Time Location Speaker
Ch. 1 & 2 of [Sim14]: Some Results for Measure Theory and Submanifolds 2024/12/15
14:00-16:00
Underground Discussion Room
Jiayibing Building
Haotong Fu
Ch. 3 of [Sim14]: Rectifiable Sets 2024/12/22
13:00-15:00
Room 313, Zhihua Building Wei Wang
Ch. 3 of [Sim14]: Preliminary Results of BV Functions 2024/12/27
15:00-17:00
Room 313, Zhihua Building Wei Wang
Ch. 3 of [Sim14]: Reduced Boundaries of Sets with Finite Perimeters 2024/12/28
14:00-16:00
Room 313, Zhihua Building Wei Wang
Ch. 4 of [Sim14]: Theory of Rectifiable n-Varifolds 2025/1/6
14:00-16:00
Room 217, Zhihua Building Huaijie Wang
Ch. 5 of [Sim14]: The Allard Regularity Theorem 2025/1/12
14:00-16:30
Room 313, Zhihua Building Haotong Fu
Ch. 6 of [Sim14]: Theory of Currents 2025/2/13
14:00-17:00
Room 313, Zhihua Building Wei Wang
Ch. 7 of [Sim14]: Minimizing Currents 2025/2/16
14:00-16:00
Room 313, Zhihua Building Wei Wang

Fall 2023 Seminar

September - December 2023

Overview

In this seminar, Speakers will share the papers they are currently reading on topics related to partial differential equations and geometric measure theory. This seminar is held mostly every Saturday evening from 18:30 to 20:30 in the 20th Building of Peking University.

Attendees

Haotong Fu (Ph.D. student, PKU), Wei Wang (Ph.D. candidate, PKU), and Qin Wu (Ph.D. candidate, PKU).

Detailed Schedule

Contents Time Location Speaker
[Can17] by Giacomo Canevari 2023/10/21
18:30-20:30
Room 307, 20th Building Wei Wang
[Can17] by Giacomo Canevari 2023/10/28
18:30-20:30
Room 307, 20th Building Wei Wang
[Sim23] by Leon Simon 2023/11/11
18:30-20:30
Room 307, 20th Building Haotong Fu
[Sim23] by Leon Simon 2023/11/25
18:30-20:30
Room 307, 20th Building Haotong Fu
[MZ09] by Apala Majumdar and Arghir Zarnescu 2023/12/2
18:30-20:30
Room 107, 20th Building Wei Wang
[NZ13] by Luc Nguyen and Arghir Zarnescu 2023/12/16
18:30-20:30
Room 207, 20th Building Wei Wang

Spring 2023 Seminar

February - June 2023

Overview

In this seminar, we primarily study recent breakthroughs in harmonic maps surrounding the following two papers:

The reading seminar is held mostly every Friday evening from 18:40 to 20:40 in Science Building No. 2 of Peking University.

Attendees

Yuxuan Chen (Ph.D. student, PKU), Haotong Fu (Undergraduate student, PKU), Yuning Liu (Professor, NYU Shanghai), Wei Wang (Ph.D. student, PKU), and Zhifei Zhang (Professor, PKU).

Detailed Schedule

Contents Time Location Speaker
[CN13]: The Quantitative Stratification 2023/2/24
18:40-20:30
Room 2517
Science Building No. 2
Yuxuan Chen
Classical Reifenberg Theorem 2023/3/17
18:40-20:30
Room 2517
Science Building No. 2
Yuxuan Chen
Ch. 3-6 of [NV17]: Rectifiable Reifenberg Results I 2023/3/23
18:30-20:30
Room 2517
Science Building No. 2
Wei Wang
Learning Report on [CN13] and [NV17] 2024/4/1
14:00-17:00
Room 1560
Science Building No. 1
Yuxuan Chen
Wei Wang
Learning report about [CN13] and [NV17] 2025/4/2
18:40-20:40
Room 2517
Science Building No. 2
Wei Wang
Haotong Fu
Ch. 3-6 of [NV17]: Rectifiable Reifenberg Results II 2023/4/7
18:30-20:30
Room 2517
Science Building No. 2
Wei Wang
Ch. 7-11 of [NV17]: Proof of Main Results 2023/4/21
18:40-20:40
Room 2517
Science Building No. 2
Wei Wang

Fall 2022 Seminar

September - December 2022

Overview

In this seminar, we study the lecture note "Lectures on Elliptic Free Boundary Problems" by Fanghua Lin (abbreviated as [Lin15]). The reading seminar is held mostly every Saturday evening from 18:30 to 20:30 at Science Building No. 2 of Peking University.

Attendees

Yuxuan Chen (Ph.D. student, PKU), Haotong Fu (Undergraduate student, PKU), Feng Shao (Ph.D. candidate, PKU), Wei Wang (Ph.D. student, PKU), and Wenzhi Wu (Ph.D. student, PKU).

Detailed Schedule

Contents Time Location Speaker
Ch. 2 of [Lin15]: General Theory of Existence and Uniqueness 2022/9/17
18:30-20:30
Room 2517
Science Building No. 2
Yuxuan Chen
Ch. 3 of [Lin15]: Regularity of Solutions 2022/9/24
18:30-20:30
Room 2517
Science Building No. 2
Wei Wang
Ch. 4 of [Lin15]: Regularity of Free Boundary I 2022/10/1
18:30-20:30
Room 2517
Science Building No. 2
Yuxuan Chen
Ch. 4 of [Lin15]: Regularity of Free Boundary II 2022/10/8
18:30-20:30
Room 2517
Science Building No. 2
Yuxuan Chen
Ch. 5 of [Lin15]: Regularity of Singular Sets of Free Boundary I 2022/10/15
18:30-20:30
Room 2517
Science Building No. 2
Wei Wang
Ch. 5 of [Lin15]: Regularity of Singular Sets of Free Boundary II 2022/10/22
14:00-16:00
Room 2517
Science Building No. 2
Wei Wang
Ch. 6 of [Lin15]: Higher Regularity of Free Boundary 2022/10/29
14:00-16:00
Room 2517
Science Building No. 2
Wei Wang