CANCELLED: The quantum Witten-Kontsevich series

Xavier Blot, The Mathematics Institute of Jussieu–Paris Rive Gauche

The Witten-Kontsevich series is the generating series of intersection numbers on the moduli space of curves. In 2016, Buryak, Dubrovin, Guéré and Rossi defined an extension of this series using a quantization of the KdV hierarchy based on the geometry of the double ramification cycle. This series, the quantum Witten-Kontsevich series, depends on a quantum parameter. When this quantum parameter vanishes, the quantum Witten-Kontsevich series restricts to the Witten-Kontsevich series. In this talk, we will first construct the quantum Witten-Kontsevich series and then present all the known results about its coefficients. Surprisingly, a part of these coefficients is expressed in terms of Hurwitz numbers.