Day-long geometry seminars with three talks on a common theme
University College London, 20th March 2018
The talks will take place at University College London. The first talk will be in Room 706, 7th floor of the mathematics department, 25 Gordon Street. The afternoon talks will take place in the Harrie Massey Lecture Theatre, on the ground floor of 25 Gordon Street. Directions and maps are available below.
Registration is free, but necessary so that we know how many people to expect. To register please send an email to Edwine Lukamba. Lunch will be provided for all registered attendees.
11.00am Piotr Chrusciel
2.00pm Carla Cederbaum
3.00pm Mihalis Dafermos
Piotr Chrusciel. Time-periodic solutions of Einstein equations with a negative cosmological constant.
I will show how to construct infinite dimensional families of time-periodic solutions of wave equations, including the Einstein equations with a negative cosmological constant and smooth conformal boundary at infinity. Based on arxiv:1711.1126.
Carla Cederbaum. On foliations related to the center of mass in General Relativity.
In many situations in classical physics, understanding the motion of the center of mass of a system is key to understanding the general "trend" of the motion of the system. It is thus desirable to also devise a notion of center of mass with similar properties in General Relativity.
However, while the definition of the center of mass via the mass density is straightforward in classical physics, there is a priori no definitive corresponding notion in General Relativity. We will pursue a geometric approach to defining the center of mass, using foliations by hypersurfaces with specific geometric properties. I will first illustrate this approach in the (easier) classical Newtonian setting and then review previous work in the relativistic situation, most prominently a fundamental result by Huisken and Yau from 1996. After introducing the foliation approach, I will discuss explicit counter-examples (joint work with Nerz) and discuss the analytic, geometric, and physical issues they illustrate. I will then present a new approach (joint work with Cortier and Sakovich) that remedies these issues.
Getting to UCL
The talks will take place at University College London, in the building which houses the Mathematics Departement, 25 Gordon Street. The morning talk will be held in Room 706, on the 7th floor, whilst the afternoon talks will be held in the Harrie Massey Lecture Theatre on the ground floor.
A map showing how to get to the Mathematics Department at 25 Gordon Street is available here. (The Mathematics Department is in the same building as the UCL Union.)
Click on the seminar names to see the speakers, titles and abstracts.
- Mélanie Bertelson (Université libre de Bruxelles)
- Simone Gutt (Université libre de Bruxelles)
- Reto Müller (Queen Mary's College, London)
- Dmitri Panov (King's College, London)
- Felix Schulze (University College, London)
- Michael Singer (University College, London)
- Guiseppe Tinaglia (King's College, London)