Séminaires : Séminaire d'Analyse et Géométrie

Equipe(s) : acg,
Responsables :O. Biquard, J. Cao, I. Itenberg, X. Ma
Email des responsables : vincent.michel@imj-prg.fr
Salle : Barre 15-25, 5ème étage, salle 02
Adresse :Campus Pierre et Marie Curie
Description

Orateur(s) Peng Zhou - IHES,
Titre Interface behavior of Partial Bergman Kernel
Date20/02/2018
Horaire14:00 à 15:00
RésumePartial 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
SalleBarre 15-25, 5ème étage, salle 02
AdresseCampus Pierre et Marie Curie
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