Seminars & Colloquia Calendar
Bochner Laplacian and Bergman kernel expansion of semi-positive line bundles on a Riemann surface
Nikhil Savale, University of Cologne
Location: Hill 705
Date & time: Tuesday, 29 October 2019 at 11:00AM - 12:00PM
Abstract. We generalize the results of Montgomery for the Bochner Laplacian on high tensor powers of a line bundle. When specialized to Riemann surfaces, this leads to the Bergman kernel expansion and geometric quantization results for semi-positive line bundles whose curvature vanishes at finite order. The proof exploits the relation of the Bochner Laplacian on tensor powers with the sub-Riemannian (sR) Laplacian.