Event Detail

Event Type: 
Department Colloquium
Monday, January 14, 2019 - 16:00 to 16:50
KIDD 364

Speaker Info

Lewis and Clark

Isolated gravitational systems in general relativity are modeled by solutions to Einstein's equations that are ``asymptotically flat'' in the sense that their geometry approaches that of the Minkowski spacetime at infinity. Studying various physical properties, such as mass and outgoing radiation, of these systems involves studying problems in geometric analysis on manifolds with certain asymptotic geometries. The most famous of these is perhaps the positive mass problem for asymptotically Euclidean manifolds, which has been resolved by Schoen-Yau and Witten. In this talk I give an introduction to a few such problems, some resolved and some open, that illustrate the interplay of geometry and differential equations present in Einstein's theory.