Geometric renormalization of wave maps

Terence Tao

We discuss the global regularity problem for wave maps, and the difficulties in solving this equation arising from divergences in the non-linear part of the flow. We discuss a number of renormalization techniques available to eliminate these divergences: a microlocal renormalization, a Coulomb gauge renormalization, and a more recent geometric renormalization based on the harmonic map heat flow which shows some promise for dealing with the large energy case.

Back to MGA Workshop V: Math Analysis and Multiscale Geometric Analysis