Video library: Yu. A. Kordyukov, Berezin--Toeplitz quantization on symplectic manifolds of bounded geometry

VIDEO LIBRARY


International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin November 24, 2023 15:00, Steklov Institute, conference hall, 9th floor

Berezin–Toeplitz quantization on symplectic manifolds of bounded geometry Yu. A. Kordyukov Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of the Russian Academy of Sciences, Ufa
https://youtu.be/xu3IoWTOrnI Abstract: In the talk, we will discuss the theory of Berezin–Toeplitz quantization on a class of noncompact symplectic manifolds, namely, on symplectic manifolds of bounded geometry. The quantum space is the spectral subspace of the renormalized Bochner Laplacian on a prequantum Hermitian line bundle associated with some interval near zero. We show that such a quantization has the correct semiclassical limit. Website: https://zoom.us/j/98008001815?pwd=OG1rTVRFRzFpY3RhZmE4MXFwckxMUT09 ^* ID: 980 0800 1815; Password: 055016