Videos

Energy dispersed Yang-Mills waves

Presenter
January 25, 2017
Keywords:
  • threshold conjecture
  • energy critical
  • Lie algebras
  • hyperbolic Yang-Mills equations
  • renormalization
  • induction on energy
  • PDE
  • harmonic analysis
MSC:
  • 35k45
  • 35-xx
  • 32a99
  • 83C57
  • 42-xx
Abstract
The goal of the lectures will be to provide an overview of the proof of the Threshold Conjecture for the hyperbolic Yang-Mills equations. They involve nonlinear covariant wave equations, Lie algebras, gauge questions, microlocal analysis in the Lie algebra setting, bilinear and multilinear estimates, renormalization and parametrices, induction on energy, etc (or as much of this as I have time to cover).