Integrable Systems and Representation Theory: Between Geometry, Algebra and Analysis

Explore the intricate connections between integrable systems and representation theory in this comprehensive talk by Professor Nicolai Reshetikhin. Begin with an introduction to fundamental concepts, including the definition of integrable systems in Hamiltonian mechanics and their extension to quantum systems and statistical mechanics models. Delve into specific examples that highlight the relationship between integrable systems and representation theory. Time permitting, gain insights into the quantization of gauge theories, a crucial area for quantum field theory. Benefit from the expertise of Professor Reshetikhin, a renowned mathematician and founder of quantum group theory, as he shares his current research interests spanning quantum topology, quantum groups, and integrable systems in both classical and quantum contexts.