We generalize a well-known theorem of Tian by proving the convergence of the Fubini-Study metrics induced by Toeplitz-Kodaira maps. These maps are constructed using the action of a Toeplitz operator on the space of holomorphic sections of the powers of a positive line bundle. We also we present applications to the distribution of zeros of random holomorphic sections. Joint work with Alexander Drewitz and Bingxiao Liu.
Fubini-Study metrics induced by Toeplitz operators
26.09.2025 11:00 - 12:00
Organiser:
Luke Edholm
Location:
BZ09