Colloquia
Colloquia
COLLOQUIUM DI
DIPARTIMENTO
Sergio Doplicher (Dip. Matematica, Università di Roma 'La
Sapienza')
LIGHT AND DAWNS OF NONCOMMUTATIVITY
giovedì 5 febbraio 2009 ore 14.00
Aula 'Dal Passo' Dipartimento di Matematica
Abstract: Lit by the birth
of Quantum
Mechanics,
soon Noncommutativity
spread new light on Mathematics, with the theory of Operator Algebras,
which, since von Neumann works in the thirties is periodically showing new
orizons.
After a quick survey on some examples, we will dwell a bit more on the
deeper level of Noncommutativity required by Quantum Field Theory, and on
how the Noncommutativity of C* Algebras can encode an abstract picture of
the dual of compact groups (the group of global gauge symmetries in
Quantum Field Theory, where the need for such a new duality theory of
compact groups first arose), and briefly touch on the open problems such a
theory arose in more deeply non commutative domains.
We will conclude with some words on the more recent dawn of
Noncommutativity in the very picture of Spacetime, if explored at the
extremely short (Planck) scale, and on the problem of formulating Quantum
Field Theory on Quantum Spacetime.
Organizzazione Colloquia:
Elisabetta Strickland, strickla@mat.uniroma2.it tel 06 7259 4683
Chairman della seduta: Daniele Guido
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