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.