# MAT 656: Quasiconformal mappings in Dynamics

# Spring 2015

# Christopher Bishop

Office: 4-112 Mathematics Building

Phone: (516)-632-8274

Dept. Phone: (516)-632-8290

FAX: (516)-632-7631

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.

## Introduction to the course

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:
bishop - at - math.sunysb.edu

Email all MAT 656 participants
(Bishop, Ghinassi, Lazebnik, Ou, Sharland, Younsi, Arfeux)