Grothendieck's Dessins d'enfants in a Web of Dualities
发布时间：2021年06月21日
浏览次数：5252
发布者: He Liu
主讲人： Jian Zhou (Tsinghua University)
活动时间： 从 2021-06-22 16:00 到 17:00
场地： 北京国际数学研究中心，全斋全29教室
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.
