Seminarium: On the spin geometry of M theory

  • Datum: –15.00
  • Plats: Å73121
  • Föreläsare: Carlos Shahbazi (Hannover)
  • Kontaktperson: Fabrizio Nieri
  • Seminarium

I will present a classification of bundles of weakly faithful Clifford modules over a pseudo-Riemannian manifold (M,g) in terms of Lipschitz structures, obtaining the topological obstruction for their existence.  For bundles of irreducible real Clifford modules, I will classify all Lipschitz structures, finding a spinorial structure which to the best of my knowledge is new in the literature. As an application of the previous classification, I will show that in signature (10,1) and under a mild assumption on the existence of a Dirac operator, M theory can be defined on (M,g) if and only if (M,g) is Spin, ruling out the possibility of defining M theory on non orientable manifolds.