Analysis and PDE

Ben Hayes from University of Virginia will be speaking.

The presentation is titled "CAT(0)-spaces associated to II1-factors."

Contact Dapeng Zhan (zhan@msu.edu) 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.

Location:	Online via Zoom [map]
Price:	free
Sponsor:	Department of Mathematics
Contact:	Department of Mathematics (517) 353-0844
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