Sep 2 – 6, 2019
Institut de Mathématiques de Bourgogne
Europe/Paris timezone

The non-commutative KdV equation and enumerative geometry

Sep 2, 2019, 3:30 PM
Amphi Gevrey

Amphi Gevrey


Paolo Rossi (Università degli Studi di Padova)


In the past years, in a joint project with A. Buryak, we have developed a general framework to construct classical and quantum field systems (in one space and one time dimensions) from intersection theory of the moduli space of stable curves. Recently a particularly interesting example came under our attention, which actually produces a integrable system of Hamiltonian PDEs in two space and one time dimensions. Computations of quadratic double ramification integrals, an entirely natural problem in algebraic geometry, turn out to produce a interesting generalization of the KdV hierarchy to 2 non-commutative space dimensions (KdV on a noncommutative Moyal torus).

Primary author

Paolo Rossi (Università degli Studi di Padova)

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