NCCR SwissMAP Courses

Geodesic Levy Flight and Foraging Hypothesis - Analytic Techniques in Dynamics and Geometry

Explore analytic techniques in dynamics and geometry, focusing on geodesic Levy flight and the foraging hypothesis. Gain insights into Brownian motion and geometric operators.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Lorentzian Calderón Problem Under Curvature Bounds

Explore analytic techniques in dynamics and geometry, focusing on the Lorentzian Calderón problem with curvature bounds. Gain insights from expert L. Oksanen of the University of Helsinki.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Closed Geodesics and Intersection Numbers in Dynamics and Geometry

Explorez les techniques analytiques en dynamique et géométrie, en mettant l'accent sur les géodésiques fermées et les nombres d'intersection.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video

Poincaré Series and Linking of Legendrian Knots

Explore analytic techniques in dynamics and geometry, focusing on Poincaré series and linking of Legendrian knots with G. Rivière.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Quasiperiodicity and Chaos in the Incompressible Euler Equation

Explore quasiperiodicity and chaos in incompressible Euler equations through analytic techniques in dynamics and geometry.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Random-like Properties of Chaotic Forcing

Explore analytic techniques in dynamics and geometry, focusing on random-like properties of chaotic forcing in mathematical systems.

• YouTube
• 53 minutes
• Self-Paced
• Free Video

Factorization of the Calderón Problem Through the Born Approximation

Explore analytic techniques in dynamics and geometry, focusing on the Calderón problem and its factorization through the Born approximation.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Marked Length Spectrum Rigidity for Surfaces with Anosov Geodesic Flows

Explorez les techniques analytiques en dynamique et géométrie, en mettant l'accent sur la rigidité du spectre de longueur marqué pour les surfaces à flux géodésique d'Anosov.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Delocalization of the Laplace Eigenmodes on Anosov Surfaces

Explore analytic techniques in dynamics and geometry, focusing on Laplace eigenmodes on Anosov surfaces and their high-frequency behavior.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Renormalization for Nilflows and Weyl Sums - Analytic Techniques in Dynamics and Geometry

Explore analytic techniques in dynamics and geometry, focusing on renormalization for nilflows and Weyl sums. Gain insights into liquid distribution and effective scaling methods.

• YouTube
• 59 minutes
• Self-Paced
• Free Video

Some Relationships Between Classical and Quantum Dynamics

Explore connections between classical and quantum dynamics through analytic techniques in dynamics and geometry.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

Uniqueness of the Measure of Maximal Entropy for Geodesic Flows on Surfaces with Caps

Explore analytic techniques in dynamics and geometry, focusing on uniqueness of maximal entropy measures for geodesic flows on capped surfaces.

• YouTube
• 58 minutes
• Self-Paced
• Free Video

The Feynman Propagator and Self-Adjointness

Explore analytic techniques in dynamics and geometry, focusing on the Feynman propagator and self-adjointness with Stanford's A. Vasy.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

The Lorentzian Scattering Rigidity Problem and Rigidity of Stationary Metrics

Explore analytic techniques in dynamics and geometry, focusing on Lorentzian scattering rigidity and stationary metrics.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

Ruelle Taylor Resonances for Higher Rank Anosov Actions

Explore analytic techniques in dynamics and geometry, focusing on Ruelle Taylor resonances for higher rank Anosov actions.

• YouTube
• 1 hour 1 minute
• Self-Paced
• Free Video