| Lecturer | Francoise Golse |
|---|---|
| Dept. | Ecole Polytechnique |
| date | Oct 10, 2019 |
The talk will review a new approach to the limits of the quantum N-body dynamics leading to the Hartree equation (in the large N limit) and to the Liouville equation (in the small Planck constant limit). This new strategy for studying both limits involves functionals that are analogous to the Wasserstein distance of exponent 2 used in optimal transport. (Work in collaboration with Clément Mouhot and Thierry Paul).
Noncommutative Surfaces
Topological aspects in the theory of aperiodic solids and tiling spaces
The significance of dimensions in mathematics
Persistent Homology
Structures on Persistence Barcodes and Generalized Persistence
Topological Mapping of Point Cloud Data
The Shape of Data
Classification of simple amenable operator algebras
Random walks in spaces of negative curvature
Quantum Dynamics in the Mean-Field and Semiclassical Regime
Entropies on covers of compact manifolds
Queer Lie Superalgebras
Sums of squares in quadratic number rings
Fano manifolds of Calabi-Yau Type
Regularity of solutions of Hamilton-Jacobi equation on a domain
What is Weak KAM Theory?
<학부생을 위한 ɛ 강연> Secure computation: Promise and challenges
