Universita di Roma Tor Vergata and CMTP

Pierre Martinetti

Description

Distances in Noncommutative Geometry Pierre Martinetti Universita di Roma Tor Vergata and CMTP Seminaire CALIN, LIPN PARIS 13, 8th February 2011

• d?1 ??


• commutative algebra


• metric space


• topological aspect


• noncommutative geometry


• sup f?c∞0


• sub- riemannian geometry


• ?? ds

Sujets

• Commutative algebra
• Metric space
• Noncommutative geometry

Informations

• Publié par: profil-urra-2012
• Nombre de lectures: 25
• Langue: English

Extrait

Distances in NoncommutativeGeometry PierreMartinetti Universita`diRomaTorVergataandCMTP Se´minaireCALIN,LIPNPARIS13,8 th February1102

Metricaspectofnoncommutativegeometry 00 ds=D −100 Distancebetweenstatesofanalgebra A interestinglinkswithotherdistances: .Nto ( s iL o zzi m &a u ;l c iD h am s iks t , u M d u¨ll i e e -r d oHs b ne; u oI t hc m mu, a K n ar y ejswik,.P.M) -distanceongraph( A finitedimensional), -horizontaldistanceinsubriemanniangeometry( A =C 0 ∞ ( M ) ⊗ M n ( C )) (P.M.) , -Wassersteindistanceinoptimaltransporttheory(commutative A ) (D’Andrea,P.M.) , -distanceinsomemodelofquantumspacetime( A = K =( S ,?)) (Cagnache, -distanceinsom D’Andrea,P.M.,Wallet) ; alsoyieldsametricinterpretationoftheHiggsfieldinConnesdescriptionofthe standardmodel (Wulkenhaar,P.M.) . TopologicalaspectmostlystudiedbyRieffel,Latre´molie`reandarecentpaperof Be´lissard,MarcolliandReihani.