Bienvenido a la página del Seminario de Geometría del Dpto. de Geometría y Topología de la Universidad de Granada. Aquí podrá encontrar toda la información sobre las próximas conferencias y eventos organizados por el departamento.

# On the existence of translators in slabs

## Giuseppe Tinaglia King's College London

In this talk I will present recent joint work with Bourni and Langford. We prove that for any $0< A<\pi /2$ there exists a strictly convex translating solution of mean curvature flow in $\mathbb{R}^n$ contained in a slab of width $\pi/cosA$ and in no smaller slab.

Seminario 1ª Planta, IEMATH

# The Hopf fibration 1

## Marian Ioan Munteanu Universitatea Alexandru Ioan Cuza

We recall some classical results on the Hopf fibration $f:S^3 -> S^2$. We focus on the preimage of a curve gamma on $S^2$ via the projection $f$. It is known as the Hopf tube over gamma and we give some curvature properties. We point out, as application related to Physics, some developments on magnetic curves on the 3-dimensional sphere. We complete the lectures extending all these studies to the fibration $M^3(c) -> S^2(r)$, where $M^3(c)$ is an elliptic Sasakian space form.

# The Hopf fibration 2

## Marian Ioan Munteanu Universitatea Alexandru Ioan Cuza

We recall some classical results on the Hopf fibration $f:S^3 -> S^2$. We focus on the preimage of a curve gamma on $S^2$ via the projection $f$. It is known as the Hopf tube over gamma and we give some curvature properties. We point out, as application related to Physics, some developments on magnetic curves on the 3-dimensional sphere. We complete the lectures extending all these studies to the fibration $M^3(c) -> S^2(r)$, where $M^3(c)$ is an elliptic Sasakian space form.

# The Hopf fibration 3

## Marian Ioan Munteanu Universitatea Alexandru Ioan Cuza

We recall some classical results on the Hopf fibration $f:S^3 -> S^2$. We focus on the preimage of a curve gamma on $S^2$ via the projection $f$. It is known as the Hopf tube over gamma and we give some curvature properties. We point out, as application related to Physics, some developments on magnetic curves on the 3-dimensional sphere. We complete the lectures extending all these studies to the fibration $M^3(c) -> S^2(r)$, where $M^3(c)$ is an elliptic Sasakian space form.

# The Hopf fibration 4

## Marian Ioan Munteanu Universitatea Alexandru Ioan Cuza

We recall some classical results on the Hopf fibration $f:S^3 -> S^2$. We focus on the preimage of a curve gamma on $S^2$ via the projection $f$. It is known as the Hopf tube over gamma and we give some curvature properties. We point out, as application related to Physics, some developments on magnetic curves on the 3-dimensional sphere. We complete the lectures extending all these studies to the fibration $M^3(c) -> S^2(r)$, where $M^3(c)$ is an elliptic Sasakian space form.

# Dominios de grafos completos en $M \times \mathbb{R}$

## Eddygledson Souza Gama Universidade Federal do Ceará

Dada $M$ una variedad de Riemann de dimensión $n$ y $\Omega$ un dominio en $M$ con frontera regular a trozos, obtenemos condiciones necesarias para la existencia de grafos completos sobre $\Omega$ en los siguientes casos: - Grafos mínimos - Grafos de CMC - Grafos de traslación para el flujo por la curvatura media.

Seminario 1ª Planta, IEMATH

# Bisectors and foliations in complex hyperbolic space

## Maciej Czarnecki Uniwersytet Łódzki

In the complex hyperbolic space $\mathbb {C}\mathbb{H}^n$ there are no hypersurfaces (of real dimension $2n-1$) which are totally geodesic. The hypersurfaces imitating this condition as well as possible are bisectors i.e. equidistants from pair of points. Every bisector is uniquely described by their poles i.e. two distinct points on the ideal boundary. A spane (rep. complex spine) of the bisector is the geodesic (resp. complex geodesic) joining poles. In my talk I shall formulate a local condition for a family of bisector to form a foliation of $\mathbb{ C}\mathbb{H}^n$ and observe these foliations on the ideal boundary which has a structure of Heisenberg group. Moreover, we shall give examples of cospinal foliations and compare the situation with totally geodesic foliations of real hyperbolic space.

Seminario 1ª Planta, IEMATH

# Eddygledson Souza Gama

Despacho: IEMATH, B-8C

# Gabriel Ruiz-Hernández

## Instituto de Matemáticas, Universidad Nacional Autónoma de México

Despacho: D4, IEMath

# Marcos Paulo Tassi

## Universidade Federal de São Carlos

Despacho: IEMath B8-B

# Maciej Czarnecki

## Uniwersytet Łódzki

Despacho: IEMath-GR D5

# Marian Ioan Munteanu

## Universitatea Alexandru Ioan Cuza

Despacho: 5, segunda planta

# Open PhD position. Geometry section KU Leuven

There is an open position for a PhD sudent in the KU Leuven Geometry Section (Belgium), starting next academic year. The deadline for application is June 16, 2018. Please find more information and how to apply here in the official application. Feel free to contact Joeri Van der Veken (joeri.vanderveken@kuleuven.be) in case of any questions.

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