Lojasiewicz inequalities for Yang-Mills and harmonic map energy functions

Orateur: FEEHAN Paul
Localisation: Université Rutgers, États-Unis
Type: Séminaire de géométrie
Site: Hors LAMA , IMJ P7
Salle: 1016
Date de début: 19/06/2017 - 15:00
Date de fin: 19/06/2017 - 15:00

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.