Harmonic analysis

Head: Alix Deruelle
Assistant: Jean-Christophe Barbelet
Weekly seminar: Mondays, 2pm, room 3L8

The main themes of the team are harmonic and microlocal analysis applied to PDEs, geometric measure theory, complex geometry, and dynamics in several variables: 

• Theory of varifolds
• Calculus of variations
• Kählerian or CR varieties and Monge-Ampere equations
• Bergman kernels 
• Inverse problems 
• Geometric measure theory 
• Multifractal analysis, diophantine approximation
• Microlocal analysis and applications
• Real harmonic analysis, applications to PDEs 
• Analytic torsion 
• Hyperbolic dynamical systems, dynamical zeta functions
• Minimal sets
• Nodal sets of eigenfunctions 
• Random geometry 
• Conformal field theory 
• Kato problem, Riesz transforms
• Holomorphic dynamics 
• Multizeta functions
• Hopf algebras and mould calculus.