Algebra/Topology seminar

Speaker: John Lind (Regensburg)

Title: T-duality and iterated algebraic K-theory

Abstract: T-duality arose in string theory as an equivalence between
the physics of two different but suitable related spacetimes.  By
considering only the underlying topological quantities, T-duality can
be distilled into a mathematical theorem which states that the twisted
K-theories of certain pairs of circle bundles equipped with
U(1)-gerbes are isomorphic via a Fourier-Mukai transform.  In this
talk, I will describe a generalization of T-duality to higher rank
sphere bundles.  I will construct twists of the iterated algebraic
K-theory of connective complex K-theory by higher gerbes and describe
a T-duality isomorphism between the twisted iterated K-theories of a
pair of suitably related sphere bundles.  (Joint with H. Sati and C.
Westerland)