BIRS Workshop Lecture Videos

Banff International Research Station Logo

BIRS Workshop Lecture Videos

Blowing-up solutions for the Toda system Ruiz, David

Description

The Toda system appears naturally in the non abelian Chern-Simons theory, and has been very much studied recently. It can also be regarded as a natural generalization to systems of the Liouville equation. In this talk we first survey some of the known results obtained by different approaches: blow-up analysis, degree theory, variational methods \dots Secondly we present constructions of blowing-up solutions for the Toda system. Those solutions have the common feature that one component is not quantized, and some global mass is present. This is a phenomenon with no analogue in the single equation case. This is joint work with Teresa D'Aprile (Rome II) and Angela Pistoia (Rome I).

Item Media

Item Citations and Data

Rights

Attribution-NonCommercial-NoDerivatives 4.0 International