Peter Bouwknegt

Title: Spherical T-duality and M-geometry [pdf]
Abstract: T-duality is an equivalence of String Theories on manifolds which are circle (or more generally, torus) bundles equipped with a background flux. Mathematically it provides an isomorphism for twisted cohomology and K-theory for these manifolds. In this talk I will briefly review T-duality for circle bundles, and then discuss a recent generalisation to 3-sphere bundles, as well as the associated (generalised) geometry. This talk is based on joint work with Jarah Evslin and Mathai Varghese [arXiv:1405.5844/1409.1296/1502.04444], and work in progress with Brano Jurco and Jan Vysoky.