Office: 4-112 Mathematics Building
Dept. Phone: (516)-632-8290
TuTh 11:30pm to 12:50pm, Physics P-123
I am trying to write some lecture notes to go along with the class. You can find the current version here , but they are incomplete, very rough and have no references yet.
The new material will start with an introduction to extremal length and quasiconformal mappings, including (I hope) a proof of the measurable Riemann mapping theorem. We will then cover a variety of topics that depend on these techniques, such as: Sullivan's non-wandering domain theorem for entire functions with finite singular sets; the construction of entire functions by quasiconformal folding; the construction of annular Fatou components; the fact the maps between Fatou components omit at most one point.
Webpage for the previous course, MAT 627, Spring 2013. This page gives a brief introduction to the topics covered in both classes and links to a number of relevant papers.
Send the lecturer (C. Bishop) email at:
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