XL Workshop on Geometric Methods in Physics Białowieża, 2-8.07.2023 XII School on Geometry and Physics Białystok, 26-30.06.2023

Michael Francis

On automorphisms of complex $b^k$-manifolds

Foundations of symplectic $b^k$-geometry were laid by Guillemin et al and has its roots in the $b$-calculus of Melrose. In a similar spirit, complex $b$-calculus was worked out by Mendoza. In this talk, we discuss the local and global automorphisms of complex $b^k$ upper half planes. We consider analogues of weighted Bergman spaces and associated Toeplitz operators as well as coherent states. This is joint work with Tatyana Barron.
Event sponsored by
University of Białystok
University of Białystok
Doskonala Nauka