Event Type:

Geometry-Topology Seminar

Date/Time:

Monday, May 7, 2018 - 12:00 to 13:00

Location:

WNGR 201

Guest Speaker:

Jens Harlander

Institution:

Boise State University

Abstract:

The group algebra RG is finite dimensional (as a vector space) only if G is a finite group. Thus dimension counting arguments are not available if G is infinite. Matters change when one passes to the Hilbert space completion of the group algebra. In that setting we have a dimension notion that behaves very much like the familiar vector space dimension. In my talk I will discuss how one can apply Hilbert space techniques to questions in low dimensional topology, in particular Whiteheadâ€™s asphericity conjecture. This talk will be aimed at students with some background in linear algebra and topology.