Intersection numbers, integrable hierarchies and matrix models

04/05/2016 - 15:30
04/05/2016 - 16:30
Alexander Alexandrov, Concordia University
CRM, UdeM, Pavillon André-Aisenstadt, 2920, ch. de la Tour, salle 4336

 From the seminal papers of Witten and Kontsevich we know that the intersection theory on the moduli space of complex curves is described by a tau-function of the KdV integrable hierarchy. Moreover, this tau-function is given by a matrix integral and satisfies the Virasoro constraints. Recently, an open version of this intersection theory was investigated. My goal is to show that this open version can also be naturally described by a tau-function of the integrable hierarchy (MKP in this case), and the matrix integral and the Virasoro constraints are also simple.

Last edited by on Thu, 03/31/2016 - 15:33