[Turkmath:8300] FW: [math] Istanbul Bilgi University Departmental Seminar April 13
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osgeklm at hotmail.com
10 Nis 2012 Sal 16:20:27 EEST
Dear All,
Serge Randriambololona (Université de Rennes 1) will give a talk at our
departmental seminar on Friday (April 13) at 16:00 in the room D-135.
The title and abstract below.
Best,
Piotr
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Title: Two notions of complex dimension for a real analytic set in a
complex analytic manifold
Joint work with J. Adamus and R. Shafikov (the University of Western
Ontario).
Abstract:
Given a subset $X$ of a complex analytic manifold $M$, it is natural to
ask how much of the ambient complex structure it does inherit.
I will discuss the behaviour two notions of complex dimensions at a
point $p$ in the case when the subset $X$ is a real analytic (or
algebraic) set: the inner complex dimension (the largest complex
dimension of a complex analytic germ at $p$ contained in $X$) and the
holomorphic closure dimension (the smallest complex dimension of a
complex analytic germ at $p$ containing the germ of $X$ at $p$).
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