CANCELLED: The quantum Witten-Kontsevich series
- Date: Friday 27 March 2020, 16:00 – 17:00
- Location: Mathematics Level 8, MALL 1, School of Mathematics
- Type: Integrable Systems, Seminars, Applied Mathematics
- Cost: Free
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.