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# Events for 06/18/2020 from all calendars

## Working seminar in High Dimensional Probability

## Noncommutative Geometry Seminar

## Banach and Metric Space Geometry Seminar

**Time: ** 2:00PM - 3:00PM

**Location: ** zoom

**Speaker: **Guillaume Aubrun, Lyon 1

**Title: ***Entangleability of cones*

**Abstract: **Given two finite-dimensional cones, one can naturally define
their minimal and maximal tensor products. We show that both coincide if
and only if one of the cones is simplex-based, as was conjectured by
Barker (1976). Our proof involves a mix of convex geometry, elementary
algebraic topology, and computations inspired by quantum information
theory (arXiv:1911.09663, joint with Ludovico Lami, Carlos Palazuelos and
Martin Plavala).

**Time: ** 4:00PM - 5:00PM

**Location: ** Zoom

**Speaker: **Javier Alejandro Chavez-Dominguez, University of Oklahoma

**Title: ***Asymptotic dimension and coarse embeddings in the quantum setting*

**Abstract: **We generalize the notions of asymptotic dimension and coarse embeddings from metric spaces to quantum metric spaces in the sense of Kuperberg and Weaver. We show that quantum asymptotic dimension behaves well with respect to metric quotients, direct sums, and quantum coarse embeddings. Moreover, we prove that a quantum metric space that equi-coarsely contains a sequence of reflexive quantum expanders must have infinite asymptotic dimension. This is done by proving a vertex-isoperimetric inequality for quantum expanders, based upon a previously known edge-isoperimetric one due to Temme, Kastoryano, Ruskai, Wolf, and Verstraete. Joint work with Andrew Swift.

**Time: ** 4:00PM - 5:00PM

**Location: ** online

**Speaker: **Alejandro Chavez-Domınguez, University of Oklahoma

**Title: ***Asymptotic dimension and coarse embeddings in the quantum setting*

**Abstract: **We generalize the notions of asymptotic dimension and coarse embeddings from metric spaces to quantum metric spaces in the sense of Kuperberg and Weaver. We show that quantum asymptotic dimension behaves well with respect to metric quotients, direct sums, and quantum coarse embeddings. Moreover, we prove that a quantum metric space that equi-coarsely contains a sequence of reflexive quantum expanders must have infinite asymptotic dimension. This is done by proving a vertex-isoperimetric inequality for quantum expanders, based upon a previously known edge-isoperimetric one due to Temme, Kastoryano, Ruskai, Wolf, and Verstraete. Joint work with Andrew Swift.