Date/Time: Thursday, March 21, 2024 (4:30PM – 5:30PM)

Location: BSB – B142

Speaker: Hari Kunduri

Title: Geometric inequalities in general relativity

Abstract: I will give a brief introduction to Riemannian geometry. The model geometry is Euclidean space, which has zero curvature. Manifolds which approach Euclidean space in an appropriate sense are called ‘asymptotically flat’ (AF). AF manifolds are characterized by geometric invariants which have the interpretation in physics (general relativity) as energy and angular momentum of an isolated system. I will discuss ideas behind the proof of geometric inequalities satisfied by these invariants.