Séminaire de géométrie, groupes et dynamiques - Unité de mathématiques pures et appliquées - UMPA/ENSL - Lyon - Sud-Est

Unité de mathématiques pures et appliquées - UMPA/ENSL - Lyon - Sud-Est

Mauricio Bustamante: "Symmetries of exotic negatively curved manifolds"

Speaker:
Title: Mauricio Bustamante: "Symmetries of exotic negatively curved manifolds"
Abstract: <div>Let N be a smooth manifold that is homeomorphic but not diffeomorphic to a closed hyperbolic manifold M. To what extent does N admit as much symmetry as M?. In this talk, I wil show that it's possible to find N with maximal symmetry, i.e. Isom(M) acts on N by isometries with respect to some negatively curved metric on N. For these examples, Isom(M) can be made arbitrarily large. On the other hand, one can also find N with little symmetry, i.e. no subgroup of Isom(M) of “small” index acts by diffeomorphisms of N. This is joint work with Bena Tshishiku.</div>

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