Representation Theory, Integrable Systems and Related Topics

• About 
• Attendance and Registration 
• Speakers 
• Program 
• Others

About

The conference will be held at the Beijing Institute of Mathematical Sciences and Applications near Yanqi Lake from Monday July 31 to Friday August 4, 2023, as a satellite conference of the International Congress of Basic Science.

World experts and early-career researchers will come together to exchange ideas and to build research networks.

Representation theory is a prominent branch of mathematics which studies abstract algebraic structures by relating them to well-understood structures, in particular linear maps on a vector space. It is closely related to such areas of mathematics as category theory, combinatorics, harmonic analysis, geometry and topology. 

One of the important applications of representation theory and, to a large extent, one of its origins, is quantum theory, where symmetries are represented by linear transformations of wavefunctions. Classical or quantum integrable systems can be regarded as dynamical systems with "maximal" symmetry. In classical mechanics, integrability means a sufficient number of independent integrals of motion, and quantum integrability has a similar meaning. Sometimes integrable systems, especially infinite dimensional ones make it more accessible to study some effects that usually are masked by complicated chaotic dynamics in non-integrable systems. They also have special features such as solutions. As it was mentioned above they have a very deep relation to representation theory and they were a source of new algebraic structures such as quantum groups.

Together, representation theory and integrable systems form a modern and powerful area of science lying at the interface of pure and applied mathematics. 

Hosts

Yanqi Lake Beijing Institute of Mathematical Sciences and Applications (BIMSA)

Organizers

• Anton Dzhamay (BIMSA & University of Northern Colorado) 
• Ping He (BIMSA)
• Andrii Liashyk (BIMSA)
• Ievgen Makedonskyi (BIMSA) 
• Pavel Nikitin (BIMSA)
• Nicolai Reshetikhin (YMSC, Tsinghua University & BIMSA)
• Ivan Sechin (BIMSA)
• Xinxing Tang (BIMSA)
• Bart Vlaar (BIMSA)
• Li Wang (BIMSA)
• Ruijie Xu (BIMSA)

Administrative Organizer

• Guangqiang Tie (BIMSA)

Contact

• adzham@bimsa.cn
• liashyk@bimsa.cn
• mak@bimsa.cn
• pnikitin@bimsa.cn
• reshetik@math.berkeley.edu
• tangxinxing@bimsa.cn
• b.vlaar@bimsa.cn