###
29/01/2020, 15:00 — 16:00 — Room P3.31, Mathematics Building

Levi Lima, *Universidade Federal do Ceará*

```
```###
Conserved quantities in General Relativity: the case of asymptotically flat initial data sets with a noncompact boundary

It is well-known that considerations of symmetry, based on the construction of suitable Noether charges, lead to the definition of a host of conserved quantities (energy, linear momentum, center of mass, etc.) for an asymptotically flat initial data set and a great deal of progress in Mathematical Relativity in recent decades essentially amounts to establishing fundamental properties for such quantities (space-time positive mass theorems, Penrose inequalities, etc.). In this talk we first review this classical theory and then show how it can be extended to the setting in which the initial data set carries a non-compact boundary. This is based on joint work with S. Almaraz e L. Mari (arXiv:1907.02023).