30 juin 2025 à 4 juillet 2025
IMT
Fuseau horaire Europe/Paris

Observability of Schrödinger equations on abelian covers of hyperbolic surfaces

1 juil. 2025, 11:00
20m
Amphi Schwartz (IMT)

Amphi Schwartz

IMT

Orateur

Yunlei Wang (Bordeaux, France)

Description

We present observability of Schrödinger equations on
abelian covers of hyperbolic surface. The observability of the Schrödinger equation from periodic open sets
on $\mathbb{R}^2$ is given by the observability results on the 2-dimensional torus through bloch transform, which was done by M. Täufer and later extended to measurable sets by K. Le Balc'h and J. Martin. To obtain results on noncompact hyperbolic surface, we use a hyperbolic bloch transform, and establish
semiclassical controls on flat bundles over a compact hyperbolic surface.

This is an ongoing work with X. Fu and Y. Gong.

Author

Yunlei Wang (Bordeaux, France)

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