Department of Mathematics





"Einstein Equations from Geometric Viewpoint"






(Vanderbilt University)


Abstract: The Einstein Field Equations in General Relativity describe how the space-time must be curved in the presence of matter and energy. These equations are of utmost importance in mathematics as well: in vacuum, the solutions of these equations are the metrics with "constant Ricci curvature", and thus, they give a canonical preferred "shape" to the underlying manifold. In this talk, I will give a survey of results on Einstein metrics, present lots of examples (Calabi-Yau Manifolds, Gibbons-Hawking Gravitational Instantons) and obstructions to their existence, and indicate why these metrics are significant in the study of geometry.



Date:  Wednesday, April  22,  2015

Time: 15.40-16.30

Place: Mathematics Seminar Room, SA-141


All are most cordially invited.
Tea and biscuits: after the seminar