Welcome to the Geometry Seminar of the Deparment of Geometry and Topology of the University of Granada. Here you can find information about the talks and events organized by the department.

Next talks

Holomorphicity of real Kaehler submanifolds

IMPA, Río de Janeiro

I will discuss the subject of real Kaehler submanifolds, that is, isometric immersions \(f\colon M^{2n}\to\mathbb{R}^{2n+p}\) of a Kaehler manifold \((M^{2n},J)\) of complex dimension \(n\geq 2\) into Euclidean space with codimension \(p\). In particular, I will present a recent result that shows that for codimension \(2p\leq 2n-1\) generic rank conditions on the second fundamental form of \(f\) imply that the submanifold has to be minimal. In fact, for codimension \(p\leq 11\) we have a stronger conclusion, namely, that \(f\) must be holomorphic with respect to some complex structure in the ambient space.

This is joint work with A. de Carvalho and M. Dajczer.

A gravitational collapse singularity theorem that improves Penrose's

Università degli Studi di Firenze

The global hyperbolicity assumption present in gravitational collapse singularity theorems is in tension with the quantum mechanical phenomenon of black hole evaporation. In this work I show that the causality conditions in Penrose's theorem can be almost completely removed. As a result, it is possible to infer the formation of spacetime singularities even in absence of predictability and hence compatibly with quantum field theory and black hole evaporation.

Seminario 1A Planta, IEMath

TBA

University College Cork

Visitors

Pontificia Universidad Católica de Chile

Despacho: Iemath

Next visitors

Università degli Studi di Firenze

Despacho: IEMath

Show more visitors

Next events

Show more events