Aaron Naber, Northwestern University


Room PK-5115, PHI Centre & McGill University, CA, CA

Introduction to the Energy Identity for Yang-Mills.

In this talk we give an introduction to the analysis of the Yang-Mills equation in higher dimensions.  In particular, when studying sequences of solutions we will study the manner in which blow up can occur, and how this blow up may be understood through the classical notions of the defect measure and bubbles.  The energy identity is an explicit conjectural relationship, known to be true in dimension four, relating the energy density of the defect measure at a point to the bubbles which occur at that point, and we will give a brief overview of the recent proof of this result for general stationary Yang Mills in higher dimensions.

The work is joint with Daniele Valtorta.