[Binghamton Geometry/Topology Seminar] Geometry & Topology seminar

[somnath at math.binghamton.edu]

BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

*Date:*  Thursday, August 29, 2013

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

*Speaker: ** *Stratos Prassidis (University of Aegean & Binghamton
University)
*Title: *On the topological rigidity of quasi-toric manifolds
 *
Abstract:* Quasi-toric spaces were defined by Danis-Januszkiewicz as
a generalization of toric varieties. Their main feature is that they
admit a nice map to a polyhedron that is a fiber bundle over the open
faces. That map induces a natural stratification of the spaces. In this
talk we will show that if a space is stratified homotopic equivalent to
a quasi-toric  manifold then it is stratified homeomorphic to it. The
proof uses standard techniques by constructing the homeomorphism over
the faces and extending inductively.