Dear Colleagues and Students,
You are cordially invited to the Analysis Seminar organized by the Department of Mathematics.
Speaker: Özcan Yazıcı (ODTU)
“Holomorphic Extension of Mappings between Hypersurfaces”
Abstract: Let M ⊂ CN , M′ ⊂ CN′ be real analytic hypersurfaces and F be a holo- morphic mapping on one side of M, continuous M and F(M) ⊂ M′. When N = N′, assuming that M and M′ have some non-degeneracy properties, it is well known that any such mapping F extends holomorphically to the other side of the hyperplane M. When N = N′ = 1, this result is known as Schwarz Reflection Principle. In the case of N′ > N, a very little is known about the holomorphic extension of such mappings. This extension problem is also related to holomorphic extension of meromorphic mappings of hyper- surfaces. In this talk, we will review some well known results and mention some recent results about these problems.
Date: Tuesday, February 26, 2019
Place: Mathematics Seminar Room, SA – 141