Matthew Gursky, University of Notre Dame
Title: Gap and index estimates for some conformally invariant
problems in dimensions 2 and 4
Abstract: In this talk I want to discuss sharp 'gap' estimates
for the energy of Yang-Mills
connections in 4-d, and the related
question of the energy of harmonic two-spheres.
I will also talk
about index estimates for Yang-Mills connections and Einstein metrics
in 4-d.