Seminario di Fisica Matematica: “Quantum integrable systems of double ramification type”

Mercoledì 12 Luglio 2017, ore 15:00 - Aula 2BC60 - Paolo Rossi


Mercoledì 12 Luglio 2017 alle ore 15:00 in Aula 2BC60, Paolo Rossi (Maitre de Conferences - Chaire CNRS, Institut de Mathematiques de Bourgogne - Université de Bourgogne, Dijon - France) terrà un seminario dal titolo “Quantum integrable systems of double ramification type”.

In this talk I will present our (with A. Buryak) construction of a vast class of quantum integrable systems associated to certain geometric objects from the moduli space of stable curves. The construction produces integrable quantum 1+1 hierarchies with several nice properties, including an universal and previously unknown (even in the classical case) recursion for the Hamiltonians, allowing to recover all integrals of motion. Integrable systems of double ramification type include KdV, ILW, Toda, Gelfand-Dickey, Drinfeld-Sokolov and many other well known classical hierarchies for which we can hence produce a quantization.

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