Published on *Max Planck Institute for Mathematics* (http://www.mpim-bonn.mpg.de)

Posted in

- Talk [1]

Speaker:

Di Yang
Affiliation:

MPI
Date:

Mon, 2017-11-27 17:30 - 18:30 We discuss the recent Hodge--GUE correspondence conjecture on an explicit

relationship between special cubic Hodge integrals over the moduli space of stable

algebraic curves and enumeration of ribbon graphs with even valencies. We sketch

a proof of this conjecture based on the Virasoro constraints. We also discuss the

conjectural relationship between the cubic Hodge integrals satisfying the local

Calabi--Yau condition and the Bogoyavlensky--Toda hierarchy (*aka* fractional

KdV). The talk is based on a series of joint works with B. Dubrovin, S.-Q. Liu

and Y. Zhang.

**Links:**

[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39

[2] http://www.mpim-bonn.mpg.de/node/3444

[3] http://www.mpim-bonn.mpg.de/YRSM2017