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SUMMARY:Finite quantum geometry\, octonions and the theory of fundamental
particles.
DTSTART;VALUE=DATE-TIME:20210208T170000Z
DTEND;VALUE=DATE-TIME:20210208T180000Z
DTSTAMP;VALUE=DATE-TIME:20220519T000911Z
UID:indico-contribution-55@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Michel Dubois-Violette (CNRS\, Universite Paris-Sacl
ay)\nWe will describe an approach to the theory of fundamental particlesba
sed on finite-dimensional quantum algebras of observables. We will explain
why the unimodularity of the color group suggests an interpretation of th
e quarklepton symmetry which involves the octonions and leads to the quant
um spaces underlying the Jordan algebras of octonionic hermitian 2 × 2 an
d 3 × 3 matrices as internal geometry for fundamental particles. In the c
ourse of this talk\, we will remind shortly why the finite-dimensional alg
ebras of observables are the finite-dimensional euclidean Jordan agebras a
nd we will describe their classifications. We will also explain our differ
ential calculus on Jordan algebras and the theory of connections on Jordan
modules. It is pointed out that the above theory of connections implies p
otentially a lot of scalar particles.\n\nhttps://events.perimeterinstitute
.ca/event/5/contributions/55/
LOCATION:
URL:https://events.perimeterinstitute.ca/event/5/contributions/55/
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