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

Title: | Noncommutative T-duality I |

Seminar: | GAP Seminar |

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: | MB106 |

Date: | 10 / 11 / 2011 |

Time: | 02:30pm - 03:30pm |