Sala 6.2.33, Ciências ULisboa
Por Xavier Blot (GFM-UL).
In 1991, Witten conjectured a relation between the moduli space of curves and the KdV hierarchy via the so-called Witten-Kontsevich series. This conjecture was proved in 1992 by Kontsevich. The first goal of the talk is to clearly present this statement.
Then, I will explain how the recent developments of the Double Ramification hierarchies allow to define a quantum version of the Witten-Kontsevich series. I will finish by explaining a surprising connection between coefficients of the quantum Witten-Kontsevich series and Hurwitz theory.
11h00
CMAFcIO - Centro de Matemática, Aplicações Fundamentais e Investigação Operacional / GFM - Grupo de Física Matemática
