Grothendieck's Dessins d'enfants in a Web of Dualities
Time: 2021-06-21
Published By: He Liu
Speaker(s): Jian Zhou (Tsinghua University)
Time: 16:00-17:00 June 22, 2021
Venue: Room 29, Quan Zhai, BICMR
A suitable generating series of counting numbers of Grothendieck's dessins d'enfants are known to be a tau-function of the KP hierarchy satisfying some Virasoro constraints. We identify the element in Sato's Grassmannian corresponding to it by boson-fermion correspondence. We will also explain how this can be specialized to some other models, including the Hermitian matrix model, modified Hermitian matrix model with even couplings. By relating generalized BGW model to counting dessins with only odd vertices, we also identify the affine coordinates for the tau-function of the generalized BGW model.
