[Binghamton Geometry/Topology Seminar] Geometry & Topology Seminar

[somnath at math.binghamton.edu]

BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

*Date:*  Thursday, October 24th, 2013

*Time:*  2:50-3:50pm
*Place:*  Library North 2205 followed by coffee/tea in the Anderson
Reading Room.

*Speaker: ** *Andrey Gogolev (Binghamton University)
*Title: * Anosov bundles.

*Abstract:* Consider a non-trivial fiber bundle M -> E -> B whose total
space E is compact and whose base B is simply connected. Can one equip E
with a diffeomorphism or a flow which preserves each fiber and whose
restriction to each fiber is Anosov? In a joint work with Tom Farrell we
answer this question negatively and give an application to geometry of
negatively curved bundles. However, in a joint work with Pedro Ontaneda
and Federico Rodriguez Hertz, we construct non-trivial bundles that admit
fiberwise Anosov diffeomorphisms that permute the fibers.