Bohr-Sommerfeld rules for non-self-adjoint Berezin-Toeplitz operators

par Yohann Le Floch (Strasbourg)

jeudi 27 nov. 2025, 14:00 → 16:00 Europe/Paris

Berezin-Toeplitz operators form a certain class of operators acting on some (finite dimensional) spaces of holomorphic sections of complex line bundles over Kähler manifolds. I will talk about a joint work with A. Deleporte (Laboratoire de Mathématiques d'Orsay) in which we describe the spectrum of a non-self-adjoint Berezin-Toeplitz operator over a surface under some natural assumptions including being not too far from the self-adjoint case. My goal will be to give an idea of the result and of the differences between the self-adjoint and non-self-adjoint cases through simple examples and illustrations and, if time permits, to explain some of the main geometric features of the proof.