Wednesday, November 11, 2020
Math Seminar Series
(Conferences / Seminars / Lectures)
Analysis and PDE more information...
Ben Hayes from University of Virginia will be speaking.
The presentation is titled "CAT(0)-spaces associated to II1-factors."
Contact Dapeng Zhan (firstname.lastname@example.org) for more information.
I will discuss recent joint work with Lewis Bowen and Frank Lin. In it, we consider a natural metric satisfying the CAT(0) condition (a certain natural negative curvature condition) on a space of operators affiliated to a tracial von Neumann algebra (a version of this space appeared in previous work of Andruchow-Larotonda). We also investigate how the geometric properties of this CAT(0) space reflect algebraic/analytic properties of the underlying von Neumann algebra.