## Analysis and PDE

•  Ben Hayes, University of Virginia
•  CAT(0)-spaces associated to $II_{1}$-factors
•  11/11/2020
•  4:10 PM - 5:00 PM
•  Online (virtual meeting) (Virtual Meeting Link)
•  Dapeng Zhan (zhan@msu.edu)

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.

## Contact

Department of Mathematics
Michigan State University