[Binghamton Geometry/Topology Seminar] April 14

[Lucas Sabalka]

                   BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

*Date:*  Thursday, April 14, 2011
*Time:*  2:50-3:50pm
*Place:*  Library North 2205 followed by coffee/tea in the Anderson Reading
Room.

*Speaker:*  Wolfgang Steimle (Bonn)
Title:  Obstructions to stably fibering manifolds
** *
Abstract:* Given a map f: M --> B between compact topological manifolds, is
it homotopic to the projection map of a fiber bundle whose fibers are
compact manifolds? Obstructions in higher algebraic K-theory to fibering the
given map f will be defined. The vanishing of these obstructions has a
concrete geometrical meaning: the obstructions are zero if and only if f
fibers stably, i.e. after crossing M with a high-dimensional disk. The
methods also provide a classification of the different ways of stably
fibering f in terms of algebraic K-theory.
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