李群上的调和分析和局部紧群上的群代数研讨会(Harmonic Analysis on Lie Groups and Group Algebras of Locally Compact Groups)

2016-12-05 ~ 2016-12-09 880

Synopsis and Organizers


Analysis on Lie groups and abstract harmonic analysis are two closely related fields. These two fields were studied together in the original works of Godement, Segal and Gelfand, and were diverted later on. However, recent developments indicated that it is important to combine the concrete Lie group analysis and the abstract Banach algebra techniques, in order to develop some systematic theory for representations of infinite dimensional Lie groups. In particular, the striking advancements for the branching problems made by, among many others, T. Kobayashi, B. Sun and C.-B. Zhu call for a new formulation in the setting of representations in Banach spaces.


This workshop intends to bring some leading Chinese and overseas experts on these two subjects to TSIMF, and to offer young Chinese mathematicians an opportunity to meet with the experts. We shall focus on the following topics and related problems.


(1) Dirac cohomology of representations of semisimple Lie groups and its application to branching rules, realization of quaternionic representations and their application to classical quaternionic analysis.

(2) Positive definite functions on Lie groups and their relation with probability theory and amenability problem in Banach algebras.


Organizers

Name University
Jing-Song Huang HKUST, Hong Kong
Anthony To-Ming Lau University of Alberta, Canada
Chi-Keung Ng Nankai University, China
Genkai Zhang Chalmers University of Technology and
University of Gothenburg, Sweden


Participants

Chengming Bai Nankai University, China
Yangyang Chen Institute of Mathematics, Chinese Academy of Sciences
Dan Ciubotaru Oxford University, UK
Haian He Beijing University, China
Jianxun He Guangzhou University, China
Joachim Hilgert Paderborn University, Germany
Jing-Song Huang The Hong Kong University of Science and Technology
Anthony To-Ming Lau University of Alberta, Canada
Hongquan Li Fudan University, China
Lei Li Nankai University, China
Bingchen Lin Sichuan University, China
Jan Mollers University of Erlangen, Germany
Karl-Hermann Neeb University of Erlangen, Germany
Chi-Kueng Ng Nankai University, China
Kyo Nishiyama Aoyama Gakuin University, Japan
Eric Marcus Opdam University of Amsterdam, The Netherlands
Bent Orsted Aarhus University, Denmark
Yoshiki Oshima University of Tokyo, Japan
Pavle Pandzic University of Zagreb, Croatia
Birgit Speh Cornell University, USA
Peter Trapa University of Utah, USA
Lyudmyla Turowska Chalmers University of Technology, Sweden
Harald Ernst Otto Upmeier University of Marburg, Germany
Kai Wang Fudan University, China
Ya-Shu Wang National Chung-Hsing University, Taiwan
Joseph Wolf University of California, Berkeley, USA
Jinsen Xiao Guangdong University of Petrochemical Technology, China
Wei Xiao Shenzhen University, China
Huajian Xue Institute of Mathematics, Chinese Academy of Sciences
Liang Yang Sichuan University, China
Genkai Zhang Chalmers University of Technology and University of Gothenburg, Sweden

Schedule

Schedule

Titles and Abstracts

Titles and Abstracts

Photos of Conference

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Last Announcement

Last Announcement

Group Photos

HD image

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