Speaker
Mr
Mattia Cafasso
(Université d'Angers)
Description
In this seminar I will show that the Kontsevich integral on n × n matrices (n < ∞) is the isomonodromic tau function
associated to a 2 × 2 Riemann–Hilbert problem. This approach allows us to gain control of the analysis
of the convergence as n → ∞. By an appropriate choice of the external source matrix in Kontsevich’s
integral, I'll show that the limit produces the isomonodromic tau function of a special tronquée solution
of the first Painlevé hierarchy, and I will identify the solution in terms of the Stokes’ data of the associated
linear problem . Time permitting I will adress the problem of universality for the Kontsevich matrix model. This is a joint work with M. Bertola.
Primary author
Mr
Mattia Cafasso
(Université d'Angers)
