Noncommutative T-duality I

GAP Seminar

Meeting Details

For more information about this meeting, contact Nigel Higson, Mathieu Stiénon, Ping Xu.

Speaker: Calder Daenzer, Penn State University

Abstract: T-duality is a ubiquitous duality in theoretical physics, its two most well-known incarnations being 1) the duality between type IIA string theory compactified on a circle of radius R and type IIB theory on a circle of radius 1/R, and 2) (conjectural) as the transform underlying mirror symmetry. I will describe T-duality from a mathematical perspective: it can be viewed as a transform of geometric spaces, and the central problem is to understand its effect on any latent geometric structures. This is an interesting problem because T-duality transforms geometric structures in highly nontrivial ways, for example complex structures can become symplectic, topological features can become noncommutative, and metrics can become flat gerbes. I will outline several of these features of T-duality, emphasizing noncommutative phenomena, and I will also describe what progress has been made towards realizing mirror symmetry as an example of T-duality.

Room Reservation Information

Room Number: 106 McAllister

Date: 10/11/2011

Time: 2:30pm - 3:30pm