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An Introduction to Spin Geometry

 

An Introduction to Spin Geometry

 

Anno accademico 2017/2018

Docente
Periodo didattico
Annuale
Tipologia
--- Nuovo Ordinamento ---
Lingua
Italiano
 
 

Programma

-Clifford algebras and spin groups (introduction)
-Spin representations and the Clifford multiplication, examples.
-Spin structure, examples.
-Theory of connections on fibre bundles, the spin  connection  on the spinor bundle
-Dirac operators (definition and basic properties) 
-Further properties of the Dirac operator, the Schrödinger-Lichnerowicz formula, 
-The Twistor operator and conformal invariance, 
-Twistor and Killing spinors, parallel spinors on Riemannian spin manifolds,
-Spin Riemannian manifolds admitting real Killing spinors, the cone-construction of Bär.
-Connections with skew-torsion, Dirac operator with torsion.
 

Orario lezioniV

GiorniOreAula
Mercoledý15:30 - 17:30Aula 5 Dipartimento di Matematica

Lezioni: dal 14/02/2018 al 30/05/2018

 
Ultimo aggiornamento: 14/12/2017 12:44
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