Special Event

Title: Analytic problems on domains with good intrinsic geometry
Speaker: Andrew Zimmer
Speaker Info: Wisconsin
Brief Description: Joint Northwestern-Notre Dame-UIC Complex Geometry Seminar
Special Note: Contact organizer for Zoom password

In this talk, I will describe a new class of domains in complex Euclidean space which is defined in terms of the existence of Kaehler metrics with good geometric properties. By definition, this class is invariant under biholomorphism. It also includes many well-studied classes of domains such as strongly pseudoconvex domains, finite type domains in dimension two, convex domains, homogeneous domains, and embeddings of Teichmuller space. Analytic problems are also tractable for this class, in particular we show that compactness of the dbar-Neumann operator on (0,q)-forms is equivalent to a growth condition of the Bergman metric. This generalizes an old result of Fu-Straube for convex domains.
Date: Thursday, October 01, 2020
Time: 11am
Where: Meeting ID: 922 7989 4966
Contact Person: Ben Weinkove
Contact email: weinkove@math.northwestern.edu
Contact Phone:
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