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Analysis on the Worm Domain

 Steven Krantz (Washington U.)

Location:  Hill 705
Date & time: Friday, 27 September 2019 at 4:00PM - 5:00PM

Abstract: The Diederich-Fornaess worm domain is a domain in complex space with very special geometric and analytic properties. Anyone with a basic course in complex analysis can understand the worm. But working with the worm is a challenge. It is subtle and usually quite difficult.

In joint work with Marco Peloso and Caterina Stoppato we have been able to study the Bergman kernel for the worm and to learn some of its fundamental properties. This will be an expository lecture, and will be accessible to a broad audience. 

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