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Analysis Seminar – Bingyuan Liu (University of California, Riverside) Geometry of the @-Neumann problem and the D{F index

April 27, 2018 @ 3:00 pm - 4:00 pm

We shall rst introduce the classical works of Hormander and Kohn on the L2 estimates of the @(-Neumann) problem on bounded domains and then describe applications in complex geometry. It turns out that the boundary geometry plays the fundamental role in the Sobolev estimates of the @ solution. The Diederich{Fornss index is the geometric invariant which predicts the estimates. We shall try to reveal the mysterious relations between the boundary geometry, the index and the Sobolev estimates.


April 27, 2018
3:00 pm - 4:00 pm
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227 Gordon Palmer Hall
505 Hackberry Lane
Tuscaloosa, AL 35487 United States
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