NCG Seminar

[Emanuele Tuillier Illingworth]

"NON-COMMUTATIVE GEOMETRY" SEMINAR
<https://www.math.sissa.it/content/non-commutative-geometry-seminars>

  Monday 23 October 2017 at 16:00
  Venue: SISSA, Room 136

  Ludwik Dabrowski (SISSA)
  "On noncommutative geometry of the Standard Model"

  Abstract:
  According to A. Connes the topology and metric structure of a spin
  manifold can be encoded in terms of the canonical spectral triple,
  of which the crucial ingredient is the Dirac operator on Dirac spinors.
  Another natural spectral triple on a manifold incorporates the
  Hodge-de Rham operator acting on differential forms. Both of them can
  be characterized in terms of certain Morita equivalence, which involves
  the Clifford algebra. These notions admit a noncommutative 
generalization,
  and in particular we can determine of which type is the internal finite
  spectral triple in the almost commutative formulation of the Standard
  Model of fundamental particles and their interactions.