Speaker
Description
I will describe a class of structures, known as G-algebroids, which arises as a natural generalisation of the ordinary, generalised, and exceptional tangent bundles from ordinary, generalised, and exceptional geometry, respectively. I will discuss a classification result in the exceptional case and show how to obtain the possible fluxes/twists of the bracket. In the M-theory and IIB setups, the twists organise themselves naturally into connections and covariantly constant differential forms, while in the IIA case one in particular recovers both the Romans mass and the deformation of Howe–Lambert–West. Finally, I will show how to use these algebroids to answer a question about the realisability of embedding tensors (providing a new perspective on the result of Inverso '17) and to give a joint description of the Poisson–Lie T- and U-duality. This is a joint work with M. Bugden, O. Hulik, and D. Waldram.
