Workshop on Harmonic Analysis on Algebraic Groups
The “Workshop on Harmonic Analysis on Algebraic Groups” was successfully held at the Tianyuan Mathematical Research Center from August 3 to August 9, 2025. The event was organized by Binyong Sun (Zhejiang University), Lei Zhang (National University of Singapore), Jia-Jun Ma (Xiamen University), Dongwen Liu (Zhejiang University), and Ning Li (Nankai University).
Aim:
The objectives of the workshop were threefold:
1. To explore cutting-edge developments in the representation theory of reductive groups over local fields related to the Relative Langlands program;
2. To create opportunities for fostering collaboration across diverse research areas within those areas;
3. To stimulate the formulation of new and significant open problems.
The main scope of the workshop:
1. BZSV duality
2. Theta correspondence
3. Local non-tempered Gan-Gross-Prasad Conjecture
4. Relative trace formula
5. Test vector
Participants:
The workshop attracted 26 participants, including experts, postdoctoral researchers, and PhD students from institutions such as:
Beihang University
Beijing Institute of Technology
Capital Normal University
Massachusetts Institute of Technology
Nankai University
Nanjing University
National University of Singapore
Peking University
Sichuan University
Singapore University of Social Sciences
The Chinese University of Hong Kong
The Chinese University of Hong Kong (Shenzhen)
The University of Hong Kong
Tsinghua University
University of Minnesota
Xiamen University
Xi'an Jiaotong-Liverpool University
Zhejiang University
Summary:
The workshop facilitated substantive academic discussions on the designated topics, thereby strengthening collaboration and intellectual exchange among participants. It proved highly productive, owing in part to the warm hospitality of the Tianyuan Center and the high-quality platform it provided for scholarly interaction. Several collaborative projects were initiated as direct outcomes of the conference.