The profile you are now visiting: Lilia Mehidi. Go back to Past records to show all talks or carry out a new search.

Talks by Lilia Mehidi

On the topology of compact locally homogeneous plane waves

Universidad de Granada

A compact flat Lorentzian manifold is the quotient of the Minkowski space by a discrete subgroup \(\Gamma\) of the isometry group, acting properly, freely and cocompactly on it. A classical result by Goldman, Fried and Kamishima states that, up to finite index, \(\Gamma\) is a uniform lattice in some connected Lie subgroup of the isometry group, acting properly and cocompactly, generalizing Bieberbach theorem to the Lorentzian signature. Such compact quotients are called "standard". More generally, a compact quotient of a homogeneous space \(G/H\) of a Lie group \(G\) is standard if the fundamental group action extends to a proper cocompact action of a connected Lie subgroup of \(G\). It turns out that looking for standard quotients is an easier problem when studying the existence of compact quotients of homogeneous spaces. This talk is about compact locally homogeneous plane waves. Plane waves can be thought of as a deformation of Minkowski spacetime, they are of great mathematical and physical interests. In this talk, we describe the isometry group of a 1-connected homogeneous non-flat plane wave, and show that compact quotients are “essentially" standard. As an application, we obtain that the parallel flow of a compact plane wave is equicontinuous. This is a joint work with M. Hanounah, I. Kath and A. Zeghib.

Aula A14 (Facultad de Ciencias)

TBA

Universidad de Granada

TBA.

Completeness of compact Brinkmann manifolds

Universidad de Granada

Sala de Conferencias (IMAG)

Lilia Mehidi

Universidad de Granada (España)

Number of talks
3
Number of visits
1
Last visit

If you found any mistake, please Contact us in order to correct it.