Operator Algebra Seminars

Seminar information archive ~02/27Next seminarFuture seminars 02/28~

Date, time & place Wednesday 16:30 - 18:00 122Room #122 (Graduate School of Math. Sci. Bldg.)


16:45-18:15   Online
Yosuke Kubota (Shinshu Univ.)
Band width and the Rosenberg index
[ Abstract ]
Band width is a concept recently proposed by Gromov. It is based on the idea that when a certain band (i.e., manifold with two boundaries) is openly immersed to a target manifold M with positive scalar curvature metric, then its width is bounded by a uniform constant called the band width of M. A qualitative consequence is that infiniteness of the band width of M obstructs to positive scalar curvature.
In this talk, infiniteness of a version of the band width, Zeidler's KO-band width, is dominated as a PSC obstruction by an existing obstruction, the Rosenberg index. This answers to a conjecture by Zeidler.
[ Reference URL ]