Speaker: **Bin Gui** (Rutgers Univ.)

Title: Connes fusion on the unit circle

Time/Date: 4:45-6:15pm, December 25 (Wed.), 2019

Room: 126

Abstract:
In subfactor theory, one can construct C^{*}-tensor categories using either
Connes fusions (Connes relative tensor products) of bimodules or compositions
of endomorphisms of factors. It is well known that these two approaches are more
or less equivalent. In algebraic conformal field theory (conformal nets), the
latter approach leads to the Doplicher-Haag-Roberts (DHR) superselection theory,
from which one can construct braided C^{*}-tensor categories for the representations
of conformal nets. In this talk, I will explain how to construct braided
C^{*}-tensor categories using Connes fusions. If time permits I will explain
how this approach leads to the notion of categorical extensions of conformal nets.