15 May 2024
Job Information
- Organisation/Company
CNRS- Department
Laboratoire de mathématiques Jean Leray- Research Field
Mathematics
History » History of science- Researcher Profile
Recognised Researcher (R2)- Country
France- Application Deadline
4 Jun 2024 - 23:59 (UTC)- Type of Contract
Temporary- Job Status
Full-time- Hours Per Week
35- Offer Starting Date
1 Sep 2024- Is the job funded through the EU Research Framework Programme?
Not funded by an EU programme- Is the Job related to staff position within a Research Infrastructure?
No
Offer Description
The SymFol project ((Conformal) symplectic foliations and beyond; Étoile Montante, funded by the Pays de la Loire Region, with principal investigator Fabio Gironella) aims to study foliations with a symplectic type structure on their leaves in high dimensions. The main motivations for this study are two: on the one hand, to understand the phenomena of approximation of these foliations by contact structures, with the aim of obtaining a generalization to high dimensions of the theory of "confoliations" in dimension 3 due at Eliashberg-Thurston; on the other, to understand to what extent symplectic techniques can be used for the topological study of Poisson structures, which are very natural examples of (in general singular) symplectic foliations. The project is therefore at the interface between symplectic/contact topology and the theory of (singular) foliations. The successful candidate will be integrated into the TGA (Topology, Geometry and Algebra) team at the Jean Leray Mathematics Laboratory at the University of Nantes, which includes specialists in the three fields.
The successful candidate will work with the principal investigator on the study of symplectic foliations in high dimensions. This will be done using techniques imported from symplectic topology, in particular pseudo-holomorphic curves, Floer theory, and/or sequences of asymptotically holomorphic sections à la Donaldson. Among the new research directions envisaged, we will study the extent to which these techniques can be used in the case of singular symplectic foliations given by Poisson structures. Using explicit constructions and h-principle techniques, we will then study possible generalizations of the Eliashberg-Thurston theorem for approximating foliations by contact structures in dimension 3 to any odd dimension.
The Laboratoire de Mathématiques Jean Leray (LMJL) is a Joint Research Unit under the joint supervision of CNRS and the University of Nantes, and in partnership with the École Centrale de Nantes. It is organized into 5 teams and employs around one hundred people. The TGA (Topology, Geometry and Algebra) team includes 14 permanent members, 7 of whom work on themes close to the SymFol project, notably Erwan Brugallé, Baptiste Chantraine, Vincent Colin, Fabio Gironella, Marco Golla, Stéphane Guillermou and François Laudenbach.
Requirements
- Research Field
- Mathematics
- Education Level
- PhD or equivalent
- Research Field
- History
- Education Level
- PhD or equivalent
- Languages
- FRENCH
- Level
- Basic
- Research Field
- Mathematics
- Years of Research Experience
- 1 - 4
- Research Field
- History » History of science
- Years of Research Experience
- 1 - 4
Additional Information
Eligibility criteria
The ideal candidate will hold a PhD in symplectic or contact topology, broadly defined. A thorough knowledge of at least one of the following aspects of symplectic and contact topology is desirable: h-principles, pseudo-holomorphic curves, Floer theory, asymptotically holomorphic theory à la Donaldson. Familiarity with foliation theory and/or Poisson structures is also appreciated, but not necessary.
Additional comments
This postdoctoral contract is aimed at young researchers (up to 2 years of prior experience), and will be funded by the projet SymFol of the Etoile Montante Pays de la Loire 2024.
- Website for additional job details
https://emploi.cnrs.fr/Offres/CDD/UMR6629-FABGIR-001/Default.aspx
Work Location(s)
- Number of offers available
- 1
- Company/Institute
- Laboratoire de mathématiques Jean Leray
- Country
- France
- City
- NANTES
- Geofield
Where to apply
- Website
https://emploi.cnrs.fr/Candidat/Offre/UMR6629-FABGIR-001/Candidater.aspx
Contact
- City
NANTES- Website
http://www.math.sciences.univ-nantes.fr/
STATUS: EXPIRED