Combinatorics and Quantum Invariant Differential Operators on Reflection Equation Algebras

Explore the fascinating world of Reflection Equation Algebras in this 43-minute lecture by Dimitry Gurevich from IITP Moscow. Delve into the remarkable properties of these algebras, including their ability to introduce q-analogs of certain symmetric functions and quantum versions of classical combinatorial formulae such as Capelli and Frobenius. Discover how these algebras enable the introduction of quantum analogs of differential operators. Learn about quantum invariant differential operators and their unique properties as Gurevich presents his research findings. Gain insights into the intersection of combinatorics, quantum mathematics, and differential operators in this advanced mathematical exploration presented at the Institut des Hautes Etudes Scientifiques (IHES).