University of Toronto
                  PDE/Applied Math/Analysis Seminar
                    Wednesday 15 November, 3:10-4pm
                       Fields Institute Library



SPEAKER:  Cristina Draghici (Aalborg, and Washington U. St. Louis)

TITLE:    Rearrangements on the unit circle

ABSTRACT: In this talk I will present two types of rearrangements:
          polarization, which is a very simple rearrangement of a 
          function, also called two-point rearrangement, and the 
          symmetric decreasing rearrangement.  Then I will talk 
          about integral inequalities of functions. Some of these
          inequalities can be proved using the polarization 
          technique, others cannot. I will mainly focus on 
          inequalities which cannot be proved by polarization,
          and present an inequality on the unit circle involving 
          two diffeomorphisms, and I will give a complete 
          characterization of these diffeomorphisms.


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University of Toronto PDE/Applied Math/Analysis Seminar 
http://www.math.toronto.edu/appmath/

2006-2007 organizers:
          Pieter Blue           pblue@ math.toronto.edu
          Almut Burchard        almut@ math.toronto.edu
          Robert McCann		mccann@ math.toronto.edu
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