Aarhus University Seal / Aarhus Universitets segl

Geometric viewpoint on topological recursion

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

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