Department Colloquium
Department of Mathematics
Princeton University
March 8th, 2000
Elliptic Yang-Mills equation
The Yang-Mills equation has played a very important role in the study of geometry and topology in the last few decades. Its regularity theory is crucial to applications. In this talk, I will give a brief tour of recent progress on regularity theory of the Yang-Mills equation on Riemannian manifolds. Some geometric applications and open problems will be also discussed.