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Next Seminar

29 October 2021 (Fri)   17:30~(JST)/10:30~(UTC+2)

Marius van der Put (University of Groningen)

Title :Isomonodromy and Painlevé type equations. Search and Case studies.

Abstract :
We present a method to construct certain families $\mathcal{M}$ of connections on the projective line. The fibres of the Riemann--Hilbert morphism $RH:\mathcal{M}\rightarrow \mathcal{R}$, where $\mathcal{R}$ denotes the family of analytic data, should be parametrized by a variable $t$. This produces a Lax pair and Painlevé type equations. The analytic classification of singularities of connections will be presented, because this is essential background for the construction of $\mathcal{M}$ and $\mathcal{R}$. The method produces besides the classical Painlevé equations, new families of Painlev\'e type equations.

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.
Regular time for seminar talk will be from 17:30--18:30 + discussion time in JST(Japan) or 10:30--11:30 in UTC+2. It is also an activity of Kobe Seminar on Integrable Systems. 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 (Kobe), Frank Loray (Rennes 1), Ryo Ohkawa (Kobe), Masa-Hiko Saito (Kobe)

Supported by

French ANR-16-CE40-0008 project "Foliage" (Frank Loray)

JSPS Grant-in-aid (S) 17H06127 (PI: Masa-Hiko Saito)