Aarhus University Seal / Aarhus Universitets segl

Seminar by Maxim Kontsevich (IHÈS)

Title: Geometric viewpoint on topological recursion

2016.07.26 | Christine Dilling

Date Wed 03 Aug
Time 13:30 14:30
Location Aud D4


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.