AbstractThe classical differential calculus of a higher order is provided by the graded algebra of differential forms on a smooth manifold with the operation of exterior differentiation. Our interest to this notion was motivated by a desire to develop a calculus of differential forms on discrete objects. As a rule, the role of discrete objects is played by discrete sets with additional relation...
Speaker: Anton Dzhamay (BIMSA)Time: 17:00-17:45, 2024-12-02Venue: A6-1Zoom: 388 528 9728Password: BIMSAAbstractMany interesting examples of integrable systems can be studied from the geometric point of view. One such recent example is a class of non-autonomous discrete dynamical systems known as discrete Painlevé equations whose role in a wide range of problems in mathematical physics has been...
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