10 March 2021 (Wed) 17:30～(JST)/9:30～(UTC+1)
Szilard Szabo (Budapest Univ. of Technology and Economics)
Title : Asymptotic analysis of non-abelian Hodge theory in rank 2
Abstract:First we explain how recent results on the asymptotic solutions
of Hitchin's equations on a curve allow one to prove Simpson's
Geometric P = W conjecture in the Painlevé 6 case. In the second
part of the talk we outline the main ideas of our ongoing work on
the extension of this result to the Garnier case with 5 parabolic
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 8:30--9:30 in UTC (England). 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
Online. Please register at the form, we will send you about web seminar address.
French ANR-16-CE40-0008 project "Foliage" (Frank Loray)
JSPS Grant-in-aid (S) 17H06127 (PI: Masa-Hiko Saito)