Abstract: The generating function of bipartite maps in arbitrary genus satisfies a sequence of differential equations called the Kadomtsev-Petviashvili (KP) hierarchy. In this talk, I will explain how this powerful integrability property can be used to study another model of maps with more structure, namely Ising-decorated triangulations. In particular, this leads to an efficient algorithm to enumerate Ising triangulations in high genus, opening up prospects to investigate the probabilistic properties of this new regime of random maps. This is based on a joint work in progress with Mireille Bousquet-Mélou and Baptiste Louf.
Ising-decorated triangulations in arbitrary genus, bipartite maps, and the KP hierarchy
21.11.2024 13:15 - 15:00
Organiser:
W. da Silva, M. Lis
Location: