Analysis Seminar
Speaker: Rasul Shafikov (Western)
"Singular Levi-flat hypersurfaces and holomorphic webs (Part I)"
Time: 15:30
Room: MC 107
Levi flat hypersurfaces are characterized by vanishing
of the Levi form on them. Their regular part is foliated by complex
hypersurfaces, this is called the Levi foliation. It is an open question
whether one can extend this foliation to the ambient space. As
example of Brunella shows, near singular points the extension may
exist in general only as a singular holomorphic web. A smooth
holomorphic web is simply the union of several foliations. A singular
web is a more general object which loosely can be thought of as a
foliation with branching. In this talk I will give a detailed background
concerning holomorphic webs, and will discuss some recent progress
on extension of the Levi foliation. This is joint work with A. Sukhov.
Mathematics Calendar 
Week of April 13, 2014
