##### Department of Mathematics,

University of California San Diego

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### Math 258 - Seminar in Differential Geometry

## Henri P. Roesch

#### UCI

## Proof of a Null Geometry Penrose Conjecture using a New Quasi-Local Mass

##### Abstract:

We construct a new quasi-local mass in space-time and show that this mass is non-decreasing along any null flow of doubly convex 2-spheres. As a result, we prove the Penrose conjecture for conical null slices, or null cones, under fairly generic conditions.

Host: Lei Ni

### December 6, 2017

### 2:00 PM

### AP&M 6402

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