Bio: Andrei Zotov is a leading researcher at Steklov Mathematical Institute. Also,associative professor at Moscow Institute of Physics and Technology and researcher at ITEP and HSE – Skoltech International Laboratory of Representation Theory and Mathematical Physics. Main field of research is mathematical physics and integrable systems.
Integrable systems with elliptic dependence on momenta and related topics.
We discuss a family of integrable many-body systems of classical (and quantum) mechanics. Some interrelations (dualities) predict existence of integrable many-body systems with elliptic dependence on particles momenta – the most general representative of this family. We describe some recent results on this topic. Next, we discuss relations of the many-body systems to other families of integrable models including integrable tops and spin chains. Finally, some interesting open problems are formulated.
Bio: Wenli Yang is a professor and PhD supervisor in the School of Physics at North-western University. He is currently the executive director of the Chinese Physical Society and a member of the National Committee on Condensed Matter Theory and Statistical Physics. He received his bachelor's degree from Xi'an Jiaotong University in 1990 and his Ph.D. degree from North-western University in 1996, and has worked at the University of Bonn, Germany, Kyoto University, Japan, and the University of Queensland, Australia. In 2009, he was selected as one of the first "Hundred Talents Plan" in Shaanxi Province, and in 2014, he was awarded the National Outstanding Youth Fund, and in 2015, he was selected as one of the Changjiang Distinguished Professors of the Ministry of Education. His achievements were awarded the Second Prize of Natural Science of the Ministry of Education in 2010 and the First Prize of Science and Technology of Shaanxi Province in 2012.
Off-diagonal Bethe ansatz approach to quantum integrable models.
Applying the recent developed method-the off-diagonal Bethe ansatz method, we construct the exact solutions of the Heisenberg spin chain with various boundary conditions. The results allows us to calculate the boundary energy of the system in the thermo dynamic limit. The method used here can be generalized to study the thermodynamic properties and boundary energy of other high rank models with non-diagonal boundary fields.
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Meeting ID : 831 2285 8822