Contents/conteúdo

Mathematics Department Técnico Técnico

Informal Geometry Seminar  RSS

Sessions

11/03/2014, 11:15 — 12:45 — Room P3.10, Mathematics Building
Joel Fine, Université Libre de Bruxelles.

Einstein's equations in 4-dimensional Riemannian geometry

I will begin by reviewing some of the features of Riemannian geometry that are particular to dimension 4 as well as what is known about compact Riemannian solutions to Einstein’s equations in 4-dimensions. Then I will outline a new way to write Einstein’s equations in 4-dimensions as a gauge theory, somewhat analogous to Maxwell’s equations and the electromagnetic potential. If there is time I hope to mention some open questions suggested by this new formalism. This “gauge theoretic approach” is joint work with Kirill Krasnov and Dmitri Panov.

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The Informal Geometry Seminar, as its name says, is an informal seminar for graduate students and postdocs at IST to share their ideas with each other and a good place to ask simple questions without any pressure.