## Lojasiewicz inequalities for Yang-Mills and harmonic map energy functions

Type:
Site:
Date:
19/06/2017 - 15:00 - 16:00
Salle:
1016
Orateur:
FEEHAN Paul
Localisation:
Université Rutgers
Localisation:
États-Unis
Résumé:

The Lojasiewicz-Simon gradient inequality is a generalization, due to Leon Simon (1983), to analytic or Morse-Bott functionals on Banach manifolds of the finite-dimensional gradient inequality, due to Stanislaw Lojasiewicz (1963), for analytic functions on Euclidean space. We shall discuss several recent generalizations of the Lojasiewicz-Simon gradient inequality and a selection of their applications, such as global existence and convergence of Yang-Mills gradient flow over four-dimensional manifolds and discreteness of the energy spectrum for harmonic maps from Riemann surfaces into analytic Riemannian manifolds.