Mathematics Department Colloquium: Persistent homology and applications from PDE to symplectic topology

Colloquium | November 29 | 4:10-5 p.m. | 60 Evans Hall

 Claude Viterbo, Ecole Normale Supérieure

 Department of Mathematics

Persistent homology has emerged in the field of topogical data analysis, and in a different formulation in the work of Barannikov in Morse theory. We shall explain what it is, and how this comes into play crucially on one hand on spectral asymptotics of the Witten Laplacian, and on the other hand in several questions in Hamiltonian dynamics and symplectic topology.