CONFERENCE
Recent advances in geometric analysis
Avancées récentes en analyse géométrique
6 – 10 November 2023
Scientific Committee
Comité scientifique
Guido De Philippis (SISSA)
Ailana Fraser (University of British Columbia)
Tristan Rivière (ETH Zürich)
Sylvia Serfaty (New York University)
Organizing Committee
Comité d’organisation
Xavier Lamy (Université de Toulouse-III-Paul Sabatier)
Paul Laurain (Université Paris Cité)
Ilaria Mondello (Université Paris-Est Créteil)
Romain Petrides (Université Paris Cité)
Bruno Premoselli (Université Libre de Bruxelles)
Rémy Rodiac (Universté Paris-Saclay)
Pierre-Damien Thizy (Université Claude Bernard Lyon 1)
LECTURES
Ilaria Mondello (Université Paris-Est Créteil) Limits of manifolds with a Kato bound on Ricci curvature
Daniel Stern (University of Chicago) Variational methods for harmonic maps, and applications to spectral geometry and minimal surfaces
TALKS (hour talks)/ EXPOSÉS
Virginia Agostiniani (University of Trento) A PDE proof of the Riemannian Penrose inequality
Mohameden Ahmedou (Giessen University) An abstract framework for the critical point theory at infinity
Maria del Mar Gonzalez (Autonomous University of Madrid) Spectral properties of Levy Fokker-Planck equations
Asma Hassannezhad (University of Bristol) Steklov eigenvalues of negatively curved manifolds
Mikhail Karpukhin (University College London) New embedded minimal surfaces in 3-sphere and 3-ball via eigenvalue optimisation
Andrea Malchiodi (Normal School of Pisa) Critical points of the Moser-Trudinger functional
Alexis Michelat (EPFL – Lausanne) Morse Index Stability Beyond Minimal Surfaces: Da Lio-Gianocca-Rivière’s Theory
Mickaël Nahon (Université Grenoble Alpes) Sharp Quantitative Stability of the Dirichlet spectrum near the ball
Marc Pegon (Université de Lille) An isoperimetric problem involving the competition between the perimeter and a nonlocal perimeter
Alessandro Pigati (New York University) Regularizing the mean curvature flow in codimension two with the abelian Yang- Mills-Higgs energy
Felix Schulze (Warwick University) Generic regularity for minimizing hypersurfaces in dimensions 9 and 10
Dominik Stantejsky (École Polytechnique) Minimizers of the Ginzburg-Landau Energy with Planar Boundary Anchoring
David Tewodrose (Free University of Brussels) Critical metrics of eigenvalue functionals via subdifferential
Alex Waldron (University of Wisconsin) A report on 2D harmonic map flow
SHORT-TALKS (half an hour talks) / EXPOSÉS COURTS
Antonia Diana (University of Naples Federico II) Elastic flow of curves with partially fixed boundary points: short and long–time existence results
Lucas Lavoyer (University of Warwick) Ricci flow from spaces with edge type conical singularities
Dorian Martino (Université Paris Cité) Classification of branched Willmore spheres
Antoine Metras (University of Bristol) Dirac eigenvalue optimization on surfaces
Lorenzo Sarnataro (Princeton University) Optimal regularity for minimizers of the prescribed mean curvature functional over isotopies
Dong-hwi Seo (Seoul National University) Uniqueness results for the critical catenoid
This one-week long workshop will gather specialists in Geometric Analysis, whose expertise covers most of the modern areas of the field.
This workshop will be a privileged opportunity to discuss recent advances and state-of-the-art techniques in the field. Leading experts will discuss their recent breakthroughs. The main topics of the conference will cover (but will not be limited to): Willmore or minimal surface theory, Ginzburg-Landau and Allen-Cahn equations, Yang-Mills theory, harmonic mappings theory, asymptotic analysis of partial differential equations and variational methods.
Special emphasis will be given to young researchers (Phd, post-doc, assistant less than 2 years). Funding will be available to cover some of their expenses and there will be a few thirty minute presentations for young researchers up to PhD +2 years.
We are committed to making this conference accessible to women and minorities, by facilitating the participation of female speakers and by encouraging the application of young female researchers.
Funding will be available to cover some of their expenses and there will be a few thirty minute presentations for young researchers up to PhD +2 years.
Cette conférence rassemblera des spécialistes en analyse géométrique.
Elle sera l’occasion d’écouter des mathématiciens de premier plan parler des récentes avancées du domaine sur des thèmes variés mais aussi interconnectés que sont : les surfaces minimales ou de Willmore, les équations d’Allen-Cahn ou Ginzburg-Landau, la théorie de Yang-Mills ou encore des applications harmoniques.
Une attention particulière sera accordée aux jeunes chercheurs (doctorants, post-docs, assistants depuis moins de deux ans). Un financement sera disponible pour couvrir certaines de leurs dépenses et quelques exposés de trente minutes seront consacrés aux jeunes chercheurs jusqu’au doctorat +2 ans.
Nous nous engageons à rendre cette conférence accessible aux femmes et aux minorités, en facilitant la participation de conférencières et en encourageant la candidature de jeunes chercheuses.
Un financement sera disponible pour couvrir certaines de leurs dépenses et quelques exposés de trente minutes seront consacrés aux jeunes chercheurs jusqu’au doctorat +2 ans.
SPONSORS
