Next Seminar
10 June 2026 (Wed) 17:30～(JST)/10:30～(CEST/UTC+2)
Carla Mariana da Silva Pinheira (University of São Paulo)
Painlevé hierarchies in random matrix models
Abstract :
Unitary random matrix models are well-known for their many applications, as their eigenvalues model several systems such as log-gas, quantum chaos, and g-maps enumeration. Connections between the limiting eigenvalue distribution and special solutions of the Painlevé II and Painlevé V equations have been established for regular potentials. For non-regular potentials, such distribution is conjectured to be related to higher-order members of the Painlevé I and II hierarchies, while deformations of these models reveal connections with other integrable hierarchies. This is based on joint work with Mattia Cafasso and ongoing work in progress.
Painlevé Seminar Topics
Recently, we have encountered many interesting links between differential
equations of Painlevé types and other fields of mathematics such
as algebraic geometry, non-abelian Hodge theory and topological recursion
and so on.
In this web seminar, we will organize research talks on Painlevé
equations and related topics on web (zoom), basically about once every
two or three weeks.
From September 2022, Regular time for seminar talk will be on Wednesday from 17:30--18:30 + discussion time
in JST(Japan) or 10:30--11:30 in UTC+1. We are looking forward to your participation in
the seminar. In order to get zoom access, please register through the form.
List of Talks
You can find the titles and abstracts of all seminars. ⇒ List of Talks
Registration
Online. Please register at the form, we will send you about web seminar address.
Organizers
Arata Komyo (Hyogo), Frank Loray (Rennes 1),
Ryo Ohkawa (Osaka Metropolitan), Masa-Hiko Saito (Kobe Gakuin), Takafumi Matsumoto (RIMS, Kyoto)
Scientific Committee (other than the Organizing Committee)
Supported by
French ANR-16-CE40-0008 project "Foliage" (Frank Loray)
JSPS Grant-in-aid (A) 22H00094 (PI: Masa-Hiko Saito)
Osaka Central Advanced Mathematical Institute:
MEXT Joint Usage/Research Center on Mathematics and Theoretical Physics JPMXP0619217849.