at the
American Institute of Mathematics, Palo Alto, California
organized by
Sebastian Goette, Kiyoshi Igusa, and John Klein
This workshop, sponsored by AIM and the NSF, 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
The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
The deadline to apply for support to participate in this workshop has passed.
For more information email workshops@aimath.org
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