RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
Forthcoming seminars
Seminar calendar
List of seminars
Archive by years
Register a seminar

Search
RSS
Forthcoming seminars





You may need the following programs to see the files








Seminar on analytic theory of differential equations
October 19, 2016 14:30, Moscow, Steklov Mathematical Institute, Room 440 (8 Gubkina)
 


A two-dimensional Riemann-Hilbert problem on an elliptic curve

A.A. Matveeva

Number of views:
This page:98

Abstract: A generalization of the Riemann–Hilbert problem to Riemann surfaces of positive genus means a question on the existence of a semistable vector bundle of degree zero over a surface, with a logarithmic connection having a given set of singular points and a given monodromy representation of the fundamental group of a punctured surface. We consider the two-dimensional problem with tree singular points on an elliptic curve. In this case a bundle and a connection can be constructed explicitely. It turns out that irreducible monodromy representations are realized for an arbitrary location of singular points, whereas for the realization of reducible representations some additional relations on the monodromy data, location of singular points and the spectral parameter of a bundle are required.

SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru
 
Contact us:
 Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2017