The geometric theory of regularity

The geometric theory of regularity

-
Daniel Stern, Princeton University
Fine Hall 322

Understanding the regularity of solutions to geometric variational problems (like minimal submanifolds, harmonic maps, and Yang-Mills connections) is of fundamental importance to geometry and neighboring fields. In this talk, we'll introduce the major tools used to analyze the singularities of such objects, and discuss what's known and what remains unanswered in this vast and lovely area of geometric analysis.