Higher Reidemeister Torsion

October 19 to October 23, 2009

at the

American Institute of Mathematics, San Jose, California

organized by

Sebastian Goette, Kiyoshi Igusa, and John Klein

Original Announcement

This workshop will focus on connections between different constructions for invariants of fiber bundles.

In the last fifteen or so years, certain invariants for fiber bundles have been constructed in three different ways: analytically, homotopy theoretically and Morse theoretically. Depending on how the theory is presented, the invariants take value in either the cohomology of the base space, or in some version of higher algebraic K-theory. We group these invariants under the collective name, higher torsion.

This workshop will focus on the various kinds of the higher torsion. At the current time it is not yet known whether the different approaches lead to the same invariant; this is probably the most fundamental question in the subject. Therefore, we hope to bring together geometrically minded analysts and topologists with the hope of developing a common language.

More precisely, the workshop will focus on

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

Papers arising from the workshop:

Exotic smooth structures on topological fibre bundles
by  Sebastian Goette and Kiyoshi Igusa