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Topology Seminar: Dr. Jeffrey Rolland

February 3, 2020 @ 2:00 pm - 2:50 pm

More Examples of Pseudo-Collars on High-Dimensional Manifolds

Dr. Jeffrey Rolland
Milwaukee School of Engineering
Adjunct Instructor of Mathematics

“Whyte introduced translation-like actions of groups which as a geometric generalization of subgroup containment. He then proved a geometric reformulation of the von Neumann conjecture by demonstrating a finitely generated group is non amenable if and only it admits a translation-like action by a non-abelian free group. This provides motivation for the study of what groups can act translation-like on other groups. As a consequence of Gromov’s polynomial growth theorem, only virtually nilpotent groups can act translation-like on other nilpotent groups. In joint work with David Cohen, we demonstrate that if two nilpotent groups have the same growth, but non-isomorphic Carnot completions, then they can’t act translation-like on each other..”

Details

Date:
February 3, 2020
Time:
2:00 pm - 2:50 pm
Event Category:

Venue

EMS Building, E408
3200 N Cramer St
Milwaukee, WI 53211 United States
Phone
(414) 229-4836