Speaker
Mauricio Bustamante
(Yau Mathematical Sciences Center Tsinghua University)
Description
I will discuss some features of the topology of smooth bundles whose fiber is a closed manifold that supports a nonpositively curved Riemannian metric. Specifically, I will show (topological) rigidity results for the associated vertical tangent bundle and a vanishing theorem for the generalized Miller-Morita-Mumford classes. This is joint work with Tom Farrell and Yi Jiang.