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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Symplectic reduction and Cosmic Strings

Mario Garcia-Fernandez

http://www.icmat.es/mario.garcia

Date(s) : 19/01/2015   iCal
14h00 - 15h00

In this talk I will discuss a coupled system of partial differential equations for a pair of functions on the 2-dimensional sphere. I will comment on the physical interpretation of the solutions, as cosmic strings in the Abelian Higgs model coupled with gravity (a hypothetical structure predicted by many models in cosmology). By dimensional reduction of a system of equations in four dimensions (the Coupled Kahler-Yang-Mills equations), we will see that the original system fits into a symplectic reduction framework. This will be applied to recover a qualitative version of an existence result by Yisong Yang for the « cosmic string equations ». Based on joint work with Luis Alvarez-Consul and Oscar Garcia-Prada.

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