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Title:
Asymptotic expansion of polyanalytic Bergman kernels

Speaker:
Haakan Hedenmalm

Abstract:
We extend the asymptotic analysis of the weighted Bergman kernels due to Tian, Yau, Zelditch, and Catlin, to the setting of polyanalytic Bergman kernels. We focus on the case of the bianalytic Bergman kernel. We base our analysis on the microlocal approach of Berman, Berndtsson, and Sjöstrand. This reports on joint work with A. Haimi.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=651

Workshop:
Simons- Workshop 2012-2013ay - Conformal Invariance