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March 15, 2011
Tuesday, March 15
Analysis Seminar
Time: 15:30
Speaker: Ilya Kossovskiy (Western)
Title: "Envelopes of holomorphy for real submanifolds in a complex space II"
Room: MC 107

Abstract: One of the most impressive phenomena in several complex variables is the phenomenon of forced analytic continuation for holomorphic functions. The biggest domain, to which the family of all holomorphic functions extends, is called the envelope of holomorphy of a domain or of a real submanifold in a complex space. Envelopes of holomorphy have some nice geometric description, making them in a sense similar to convex hulls of domains and submanifolds in a Euclidian space. In the present talk we discuss some classical theorems for domains of holomorphy as well as some new results for real submanifolds in a complex space.