Harmonic functions over group actions and foliations

Jeudi 26 juin 2008 14:00-15:00 - Feres Renato - Washington University

Résumé : Informations : On a compact foliated manifold provided with Riemannian metrics on leaves, one considers continuous functions which are harmonic with respect to the foliation Laplacian. We wish to investigate the set of such functions and, in particular, under what conditions they must be constant along leaves. Similarly, one may consider actions of discrete groups on compact spaces and continuous functions which are harmonic on orbits relative to a discrete Laplacian on the group. In this exposition I will describe a number of results on the subject by Fenley-Kamlesh-F, Zeghib-F, and Deroin-Kleptsyn.

Lieu : bât. 425 - 121-123

Harmonic functions over group actions and foliations  Version PDF