School of Mathematics Colloquium

On rigidity theory for nonlinear interval exchange transformations

by Prof. Konstantin Khanin (University of Toronto, Canada)

Tuesday, February 18, 2014 from to (Asia/Kolkata)
at Colaba Campus ( AG-66 )
Description
In this talk we shall report on recent progress in rigidity theory for 
nonlinear interval exchange transformations corresponding 
to cyclic permutations. Such maps can be viewed as circle homeomorphisms
with multiple break points. We shall discuss both recent results on 
rigidity and renormalization of such maps in case of one break point 
(joint with S. Kocic and A. Teplinsky), and an extension to the 
multiple-break setting (based on work in progress with A. Teplinsky).