SEMINARIO DE GEOMETRÍA Y TOPOLOGÍA

10:30, martes 13 de marzo, 2018.
Departamento de Matemáticas de la UAM
Aula 420, módulo 17,

Speaker: Mauricio Bustamante, Universität Augsburg

Título: Bundles with fiberwise negatively curved metrics.

Abstract: A smooth M-bundle is said to be negatively curved if its fibers are equipped with  Riemannian metrics of negative sectional curvature, varying continuously from fiber to fiber. The difference between negatively curved M-bundles and smooth M-bundles is measured by the space of all negatively curved metrics on M. In this talk I will show that the latter space has non-trivial rational homotopy groups, provided certain dimension constraints are satisfied. Hence the two bundle theories generally differ. This is joint work with F.T. Farrell and Y. Jiang.