# 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