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Morawetz estimates and nonconcentration of Yang-Mills waves

Introductory Workshop: Harmonic Analysis January 23, 2017 - January 27, 2017

January 26, 2017 (11:00 AM PST - 12:00 PM PST)
Speaker(s): Daniel Tataru (University of California, Berkeley)
Location: SLMath: Eisenbud Auditorium
Tags/Keywords

  • Morawetz estimates

  • threshold conjecture

  • hyperbolic Yang-Mills equations

  • nonlinear covariant wave equation

  • Lie algebras

  • gauge question

  • Microlocal analysis

  • multilinear estimates

  • PDE

  • harmonic analysis

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Morawetz Estimates And Nonconcentration Of Yang-Mills Waves
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). 
Supplements
28004?type=thumb Tataru Notes 278 KB application/pdf Download
Video/Audio Files

Morawetz Estimates And Nonconcentration Of Yang-Mills Waves

H.264 Video 12-Tataru.mp4 1.41 GB video/mp4 rtsp://videos.msri.org/data/000/027/699/original/12-Tataru.mp4 Download
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