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Next Seminar

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

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)