Organizers
Long Jin (金龙), Tsinghua University, China ✉ 🌐
Sanghyuk Lee, Seoul National University, South Korea ✉ 🌐
Danqing He(贺丹青), Fudan University, China ✉ 🌐
Zhongkai Tao(陶中恺), Institut des Hautes Études Scientifiques, France ✉ 🌐
Bochen Liu(刘博辰), Southern University of Science and Technology, China ✉ 🌐
Kangwei Li(李康伟), Zhejiang Normal University, China ✉ 🌐
Abstract
This symposium focuses on recent advances in harmonic analysis and its significant applications in related mathematical branches. It systematically traces the field's development since the inception of Fourier series theory and elucidates its pivotal role in modern mathematics.
Originating from analytical tools pioneered by Fourier in his study of the heat equation, harmonic analysis has evolved over two centuries. Its core research scope has expanded from classical problems such as the convergence of Fourier series to modern frontiers including high-dimensional oscillatory integral estimates and singular integral operator theory. In recent years, tools from algebraic geometry, additive combinatorics, and other fields have been introduced into harmonic analysis research, driving breakthroughs in major problems such as the Bochner-Riesz conjecture, restriction conjecture, and Furstenberg–Bergelson–Leibman conjecture, while resolving the local smoothing conjecture and Kakeya conjecture in three-dimensional space. Concurrently, significant applications of related theories in problems like the Vinogradov mean value theorem, pointwise convergence of solutions to the Schrödinger equation, Falconer distance conjecture, and Roth theorem collectively signify that the field is undergoing a dual expansion in both theoretical depth and breadth.
The conference will invite experts in harmonic analysis and related fields from both China and abroad to present their latest research findings and to explore in depth the extensive connections between harmonic analysis and mathematical branches such as number theory, geometric measure theory, and additive combinatorics.
Speakers
1. David Beltran, Universitat de València, Spain
2. Peng Chen (陈鹏), Sun Yat-sen University, China
3. Arne Hendrickx (韩易伦), Ghent University, Belgium
4. Elena Kim, Harvard University, USA
5. Joonil Kim, Yonsei University, South Korea
6. Hyerim Ko, Jeonbuk National University, South Korea
7. Doowon Koh, Chungbuk National University, South Korea
8. Xudong Lai (赖旭东), Harbin Institute of Technology, China
9. Jinbong Lee, Seoul National University, South Korea
10. Wenjuan Li (李文娟), Northwestern Polytechnical University, China
11. Zhenhao Li (李桢昊), University of California, Berkeley, USA
12. Chong-Wei Liang (梁崇瑋), Taiwan University, China-Taiwan
13. Sewook Oh, Gwangju Institute of Science and Technology, South Korea
14. Sheldy Ombrosi, Universidad Nacional del Sur, Argentina
15. Jaehyeon Ryu, Ewha Womans University, South Korea
16. Andreas Seeger, University of Wisconsin-Madison, USA
17. Renhui Wan (万仁辉), Nanjing Normal University, China
18. Shukun Wu (吴澍坤), Indiana University Bloomington, USA
19. Jingxuan Zhang (张景宣), Tsinghua University, China
