Gurevich D. q-Analogs of differential operators and their applications (abstract)

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Speaker: Dimitri Gurevich

Title: q-Analogs of differential operators and their applications

Abstract:
Their exists a way, based on the notion of Quantum Doubles, to introduce analogs of partial derivatives on the so-called Reflection Equation algebras. Analogously to the classical case it is possible to use these q-derivatives for different applications. I plan to explain their utility for constructing q-analogs of the so-called cut-and-join operators and other problems of "braided differential calculus".


Event: Diffieties, Cohomological Physics, and Other Animals, 13-17 December 2021, Moscow.
Alexandre Vinogradov Memorial Conference.