Based on an interpretation of the quarklepton symmetry in terms of the unimodularity of the color group and on the existence of 3 generations, we develop an argumentation suggesting that the finite quantum space corresponding to the exceptional formally real Jordan algebra of dimension 27 is relevant for the description of internal space in the theory of particles. More generally it is suggested that the replacement of the algebra of real functions on spacetime by the algebra of functions on spacetime with values in a finitedimensional Euclidean Jordan algebra is relevant in particle physics. This leads us to study the theory of Jordan module and to develop the differential calculus over Jordan algebras. We formulate the corresponding theory of connections.
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Exceptional quantum geometry and particle physics
Research Group:
Prof
Michel DuboisViolette
Institution:
Université Paris Sud
Location:
A133
Schedule:
Tuesday, October 25, 2016  16:00 to 18:00
Abstract:
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Upcoming events

Giulia Meglioli
Comparison of model order reduction approaches in parametrized optimal control problems
Wednesday, January 24, 2018  15:00

Francesco Solombrino
Multiscale analysis of singularly perturbed finite dimensional gradient flows: the minimizing movement approach
Wednesday, January 24, 2018  16:00

Enrico Pasqualetto
Towards a notion of parallel transport for metric measure spaces with lower Ricci curvature bounds
Friday, January 26, 2018  14:00

Céline Maistret
Parity of ranks of abelian surfaces
Thursday, February 1, 2018  14:00
Today's Lectures

Stefano Bianchini
09:00 to 11:00

Ludwik Dabrowski
11:00 to 13:00

Nicola Visciglia
11:00 to 13:00

Andrei Agrachev
11:00 to 13:00

Nicola Gigli
14:00 to 16:00

Ugo Bruzzo
14:30 to 16:00
Recent publications

G. Cotti; B. Dubrovin; D. Guzzetti,Local moduli of semisimple Fro...

I. Androulidakis; P. Antonini,{Integrable lifts for transiti...

S. Bianchini; P. Bonicatto,A uniqueness result for the de...

N. Antonić; K. Burazin; I. Crnjac; M. Erceg,Complex Friedrichs systems and...