Noncommutative geometry and differential calculus in tensor categories.

Date & time

3.30–5pm 25 August 2017

Location

John Dedman Building 27, Room JD1177 (meeting room)

Speakers

Corey Jones (MSI)

Contacts

 Scott Morrison

Many of the fundamental geometric concepts in the theory of smooth manifolds can be rephrased algebraically in terms of the commutative algebra of smooth functions on the manifold.  We will discuss how and why one might try to generalize these ideas to noncommutative algebras via the notion of a differential calculus, and some fundamental difficulties with the standard approaches.  In the case our algebra in question exhibits categorical symmetries, we will show how many of these difficulties can be overcome by applying constructions internal to an abstract tensor category.

Updated:  26 September 2017/Responsible Officer:  Director/Page Contact:  School Manager