Area Preserving Diffeomorphisms and Fixed Points
Sahana Vasudevan (Harvard)
Sunday, 8 February 2015, 4:25 PM
Harvard, Science Center 310
In this talk I will give an elementary proof of the Poincare-Birkhoff fixed point theorem: that area preserving twist diffeomorphisms of the annulus must have at least two fixed points. I will talk about a generalization of this problem, namely the Arnold fixed point conjecture, and (time permitting) outline a proof of this conjecture for tori.