25 Settembre, 2024 17:00 in punto
Sezione di Geometria, Algebra e loro applicazioni
Bochner Laplacians and Bergman kernels for families
Nikhil Savale, Università di Colonia, Germania
On-line (zoom link: polimi-it.zoom.us/j/91356779285)
Abstract
We generalize the results of Marinescu-Savale to families of Bochner Laplacians. This particularly leads to the fiberwise expansion for families of Bergman kernels of horizontally semi-positive index bundles. The proof uses Ma-Zhang's description for the curvature of the index bundle as a fiberwise Toeplitz operator. Based on joint work with X. Ma and G. Marinescu.