Calculus of Variations and Geometric Measure Theory

One year post-doctoral position in Geometry and Global Analysis - Nantes, France

created by tewodrose on 16 Nov 2018

Deadline: 1 dec 2018

Prof. Gilles Carron and Samuel Tapie propose a one year postdoctoral position in the Geometry and Global Analysis group of the Laboratoire de Mathématiques Jean Leray (Univ. Nantes, France). It will start on September 1st 2019 or October 1st 2019. It is co-funded by the Centre Henri Lebesgue and the ANR grant "CCEM - curvature contraints and Metric spaces".

More practical informations and application form will be found on the webpage : https://www.lebesgue.fr/content/post-doc

Please contact Gilles Carron (gilles.carron@univ-nantes.fr) or Samuel Tapie (samuel.tapie@univ-nantes.fr) before applying.

Here is a description of the CCEM project:

A fundamental problem in Riemannian geometry is to understand "spaces of metrics" satisfying variours curvature constraints. These spaces can be endowed with topologies, as the Gromov-Hausdorff one. When non compact it is natural to try to complete them by introducing singular metrics. This has led to the definition of several classes of singular metric spaces, studied for their links to Riemannian manifolds but also for themselves. Our project gather French geometers specialists in topology, Ricci flow, analysis on manifolds and singular metrics spaces, with the aim to study these spaces of Riemannian or generalized metrics by combining our approaches and techniques. We envision questions of existence-uniqueness of "best metric" in a given class, of homotopy type of classes of metrics, generalisations of the theory of limits under Ricci bounds, as well as the study of some stratified spaces with conical iterated metrics.