Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Einstein-Bogomol’nyi equation and Gravitating Vortex equations on Riemann surfaces

Chengjian Yao

created by daniele on 27 Jan 2021
modified on 24 Feb 2021

11 mar 2021 -- 14:00

Firenze (online)

Seminari di Geometria Differenziale e Analisi Complessa del Dipartimento di Matematica e Informatica "Ulisse Dini" dell'Università di Firenze


The Einstein’s Fields Equation coupled with an Abelian gauge field and a Higgs field possesses a special type of solution, mathematically known as Einstein-Bogomol’nyi equation and physically known as Cosmic Strings. In this talk, I will present some existence theorems for such equation and also its close companion Gravitating Cortex equations, introduced from a moment map picture. This is based on the joint work with Garcia-Fernandez and Pingali.

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