| Orateur(s) | Peng Zhou - IHES,
|
| Titre | Interface behavior of Partial Bergman Kernel |
| Date | 20/02/2018 |
| Horaire | 14:00 à 15:00 |
|
| Résume | Partial Bergman kernels are kernels of orthogonal projections onto subspaces of holomorphic sections of the 𝑘-th power of an ample line bundle L over a Kahler manifold M. The subspaces of this talk are spectral subspaces \H𝑘 < E\ of the Toeplitz quantization H𝑘 of a smooth Hamiltonian H ∶ M → R. It is shown that the relative partial density of states converges to the characteristic function of the domain A, where A=\H < E\. Moreover it is shown that this partial density of states exhibits ‘Erf’-asymptotics along the boundary of A, that is, the density profile asymptotically has a Gaussian error function shape interpolating between one and zero. Such ‘erf’-asymptotics are a universal edge effect. This is based on joint work with Steve Zelditch |
| Salle | Barre 15-25, 5ème étage, salle 02 |
| Adresse | Campus Pierre et Marie Curie |
