比利时vs摩洛哥足彩
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university of california san diego
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math 258 - differential geometry seminar
andrew zimmer
university of wisconsin- madison
analytic problems on domains with good intrinsic geometry
abstract:
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.
host: lei ni
april 7, 2021
11:00 am
zoom id 917 6172 6136
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