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Geometric Analysis Seminar

"The Lojasiewicz-Simon gradient inequality and applications to energy discreteness and gradient flows in gauge theory"

Paul Feehan, Rutgers University

Location:  HILL 705
Date & time: Tuesday, 11 April 2017 at 3:00PM -



Time: 3:00 PM
Location: Hill 705
Abstract: 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. Parts of this talk are joint work with Manousos Maridakis.

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