Conférences  >  Physique  >  Mécanique quantique et l'information quantique  >  Canada

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

Quantum information theory is the foundation of quantum computers. Participants including leading physicists from Canada and across the globe will discuss the role of quantum information theory to tackle fundamental questions in Physics about our Universe. This five day workshop will hold morning and afternoon sessions with ample time for discussions with leading physicists in the field. The workshop will feature an evening public lecture by an internationally renowned physicist, to be attended by members of the local community, high school students and anyone interested in getting an insider's overview of the current state of theoretical physics at the forefront. It will also feature two panel discussions focused on Equity, Diversity and Inclusion in the academia.

Banff International Research Station (BIRS) for Mathematical Innovation and Discovery

The symmetries of classical mathematical objects form a group. In the past several decades, we have seen new quantum mathematical objects like von Neumann algebras and quantum field theories whose symmetries are best described by tensor categories. One reason for this is that these mathematical objects naturally form higher categories, and thus their endomorphisms naturally form higher monoidal categories. In this sense, we view fusion categories as objects which encode quantum symmetries. Subfactors are a rich source of examples of exotic unitary fusion categories, and conversely, every unitary fusion category arises from a subfactor. This correspondence leads to deep mathematical connections between these fields. These mathematical objects are also intimately related to conformal field theory and topological phases of matter, which give topological quantum field theories, in which higher categories play an important role. The purpose of this workshop is built on the 2014 and 2018 BIRS workshops on subfactors and fusion categories, with the goal of studying these objects through a higher categorical lens. To do so, we will bring together world experts from subfactors, fusion categories, higher categories, and mathematical physics to further develop the deep and rich connections between these fields.