Lalonde, François

- Full Professor
-
Faculty of Arts and Science - Department of Mathematics and Statistics
André-Aisenstadt Office 6143
Courriels
Affiliations
- Membre Centre de recherches mathématiques
- Titulaire Chaire de recherche du Canada en géométrie différentielle et topologie
- Membre CRM Centre de recherches mathématiques
Research area
- Topology
- Geometry
- Quantum homology
- Lagrangian submanifold
- Diffeomorphism group
- Floer homology
- Hamiltonian system
- Symplectic topology
- Cluster homology
Research projects Expand all Collapse all
Fundamental and Statistical Symplectic Topology CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2018 - 2024
FGR-CRSNG_2017-2018 CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2017 - 2018
CENTRE DE RECHERCHES MATHEMATIQUES (CRM) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2015 - 2023
CANADA RESEARCH CHAIR IN DIFFERENTIAL GEOMETRY AND TOPOLOGY SPIIE/Secrétariat des programmes interorganismes à lintention des établissements / 2015 - 2022
COURBES J-HOLOMORPHES ET RIGIDITE EN TOPOLOGIE SYMPLECTIQUE ET EN PHYSIQUE-MATHEMATIQUE FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2013 - 2017
CENTRE DE RECHERCHE MATHÉMATIQUE FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2013 - 2015
DEMANDE DE STAGE INTERNATIONAL POUR LAURENT DELISLE FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2012 - 2014
DEMANDE DE STAGE INTERNATIONAL POUR MUATH KARAKI FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2012 - 2014
DEMANDE DE STAGE INTERNATIONAL POUR VIRGILE DUCET FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2012 - 2014
DEMANDE DE STAGE INTERNATIONAL POUR XAVIER GLOROT FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2012 - 2014
QUANTUM TOPOLOGY OF LAGRANGIAN SUBMANIFOLDS CRSNG/Conseil de recherches en sciences naturelles et génie du Canada (CRSNG) / 2011 - 2017
QUANTUM TOPOLOGY OF LAGRANGIAN SUBMANIFOLDS / 2011 - 2015
CENTRE DE RECHERCHES MATHEMATIQUES (CRM) FRQNT/Fonds de recherche du Québec - Nature et technologies (FQRNT) / 2008 - 2016
CANADA RESEARCH CHAIR IN DIFFERENTIAL GEOMETRY AND TOPOLOGY SPIIE/Secrétariat des programmes interorganismes à lintention des établissements / 2008 - 2015
Selected publications Expand all Collapse all
An example concerning Hamiltonian groups of self product II
An example concerning Hamiltonian groups of self product I
The $g$-areas and the commutator length
The Hofer Geometry of Surfaces, preprint
Homological Lagrangian Monodromy
g-areas and commutator length, preprint
Minimality in the Hofer geometry of Lagrangians, preprint
Non-splitting of certain groups of Hamiltonian diffeomorphisms, preprint
New Perspectives and Challenges in Symplectic Field Theory
A relative Seidel morphism and the Albers map
The homotopy type of the space of symplectic balls in rational ruled 4-manifolds
The full homotopy type of symplectic balls in $S^2 \times S^2$ above the critical value, preprint arXiv:math/0406129
Anti-symplectic involutions and Maslov indices, preprint
The topology of the space of symplectic balls in $S^2 \times S^2$
Lagrangian submanifolds: from the local model to the cluster complex
Cluster homology: an overview of the construction and results
Cluster Homology
Morse theoretical methods in symplectic topology and non-linear analysis
Errata to: ``Symplectic structures on fiber bundles''
A field theory for symplectic fibrations over surfaces with applications
The topology of the space of symplectic balls in rational 4-manifolds
Symplectic and Contact Topology: Interactions and Perspectives
Length minimizing Hamiltonian paths for symplectically aspherical manifolds
Symplectic structures on fiber bundles
Length minimising paths for symplectically aspherical manifolds
Cohomological properties of ruled symplectic structures on manifolds, Mirror Symmetry IV
Groupes d'automorphismes et plongements symplectiques de boules dans les variétés rationelles
Holomorphic cylinders with Lagrangian boundaries and Hamiltonian dynamics
Stabilisation of symplectic inequalities and applications
Topological rigidity of Hamiltonian loops and quantum homology
On the Flux conjectures
Proceedings of the CRM Workshop on Geometry, Topology and Dynamics (Montréal 1995)
Gauge Theory and Symplectic Geometry
Energy and capacities in symplectic topology, in:
Symplectic diffeomorphisms as isometries of Hofer's norm
J-curves and symplectic invariants, in:
New trends in symplectic geometry
Positive paths in the linear symplectic group
J-holomorphic curves and the classification of rational and ruled symplectic 4-manifolds
The classification of ruled symplectic 4-manifolds
Errata: ``Hofer's $L^infty$-geometry: energy and stability of Hamiltonian flows. I, II''
Hofer's $L^{\infty}$-geometry: energy and stability of Hamiltonian flows part I
Hofer's $L^{\infty}$-geometry: energy and stability of Hamiltonian flows part II
The geometry of symplectic energy
Local Non-Squeezing Theorems and Stability
Isotopy of symplectic balls, Gromov's radius and the structure of ruled symplectic $4$-manifolds
Symplectic rigidity: Lagrangian submanifolds
Isotopy of symplectic balls, Gromov's radius, and the structure of irrational ruled symplectic 4-manifolds
Suppression lagrangienne de points doubles et rigidité symplectique
Hamiltonian collapsing of irrational Lagrangian submanifolds with small first Betti number
Sous-variétés lagrangiennes et lagrangiennes exactes des fibrés cotangents
Classes caractéristiques isotropes
Homologie de Shih d'une submersion (homologies non singulières des variétés feuilletées)
Homologies de Shih: définition et propriétés
Homologie de Shih d'une submersion
Homologie de plongements dans les variétés différentiables
Homologie de plongements dans les espaces euclidiens
Le problème d'étoiles pour graphes est NP-complet