# Borel Complexity and Classification of Operator Systems (14frg204)

## Organizers

(University of Regina)

(Boise State University)

Martino Lupini (Victoria University of Wellington)

(McGill University)

## Description

The Banff International Research Station will host the "Borel complexity and classification of operator systems" workshop from August 10 to August 17.

Operator systems have a beautiful and well-developed theory, with several applications to other areas of mathematics, such as to quantum information theory. Nonetheless to this day even $3$-dimensional operator systems are commonly considered too complicated to be understood and classified in full generality. Our goal is to shift this paradigm, and obtain a satisfactory classification of arbitrary finite-dimensional operator systems.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).