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Speaker:

Di Yang
Affiliation:

MPI
Date:

Mon, 2017-11-27 17:30 - 18:30
Location:

MPIM Lecture Hall 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.

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