Extension theorems for holomorphic functions on subvarieties
Speaker: Prof. Shin-ichi Matsumura (Mathematical Institute-Tohoku University, Japan)

Time: 9h00, Friday, April 7, 2017
Location:
Room 3, Builiding A14, Institute of Mathematics, Hanoi
Abstract:
The problem of extending holomorphic functions (more generally sections of holomorphic vector bundles) often plays an important role in the theory of several complex variables. In this talk, after I review some well-known extension theorems (for example, Ohsawa-Takegoshi L^2 extension theorem, several vanishing theorems, and so no), I will give a recent result based on the so-called injectivity theorem. Further I will explain a relation among extension problems and applications to higher dimensional algebraic geometry, if time permits.

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