28 April 2021 (Wed) 17:30～(JST)/10:30～(UTC+2)
Kazuki Hiroe(Chiba University)
Title : Deformation of moduli spaces of meromeprhic connections on the
Riemann sphere via unfolding of irregular singularities
Abstract: It is well known that irregular singular points of
differential equations are obtained by the confluence of some regular
singular points and then
some analytic properties of these irregular singular points can be related to
that of regular singular points via this confluence procedure.
In this talk, I will explain a construction of flat families of
moduli spaces of meromeprhic connections on the Riemann sphere in
which generic fibers are moduli spaces of regular singular connections
and specializations of deformation parameters correspond to the
confluence of their regular singularities. Then I will show that every
moduli space of connections with unramified irregular singularities
has this kind of deformation.
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 9:30--10:30 in UTC+1 (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)