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Geometric viewpoint on topological recursion

Maxim Kontsevich
(IHÈS)
Seminar
Onsdag, 3 august, 2016, at 13:30-14:30, in Aud. D4 (1531-219)
Abstrakt:

I will report on a recent work in progress with Yan Soibelman.

We introduce a way to encode Eynard-Orantin topological recursion in a geometric package which allows to prove holomorphic anomaly equations without explicit calculations. The main ingredient is what we call "Airy structure": a hamiltonian action of a Lie algebra on a symplectic affine space with teh moment map given by quadratic Hamiltonians.

Organiseret af: QGM
Kontaktperson: Joergen Ellegaard Andersen