On superintegrability.

• 主讲人：Nicolai Reshetikhin (UC Berkley, Tsinghua University)
• 举办方： Beijing-Saint Petersburg Mathematics Colloquium
• 时间： 2023-05-11 20:00 - 2023-05-11 21:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/CA626B9C285F1BD1B7E7508A374BA1B0
Valid Until: 2027-06-30 23:59

 

Abstract: The notion of superintegrability in Hamiltonian mechanics generalizes Liouville integrability in a natural way. Roughly, superintegrable systems have an extra "hidden symmetry". Historically, the first example of such a system is the Kepler system with an extra symmetry generated by what is known now as Lenz vectors. The first part of the talk will be focused on geometric structures related to superintegrability. The second part aims at the corresponding quantum notion. It turns out that known constructions from Lie theory and representation theory typically produce superintegrable systems.

 

​Bio: Nicolai Reshetikhin is a Professor of Mathematics at the Department of Mathematics of UC Berkley and Yau Mathematical Research Center of Tsinghua University. He graduated from Leningrad University and obtained PhD at the Leningrad Branch of Steklov Mathematical Institute. His research interests lie at the interface of mathematical physics, geometry and representation theory, more specifically in quantum field theory, statistical mechanics, geometry and low-dimensional topology, and representation theory of quantum groups. Nicolai Reshetikhin is an invited speaker of ICM 1990 in Kyoto and a plenary speaker of ICM 2010 in Hyderabad.