Statut | Confirmé |
Série | SEM-DARBOUX |
Domaines | cond-mat,hep-th,math.MP |
Date | Jeudi 4 Fevrier 2021 |
Heure | 11:00 |
Institut | LPTHE |
Salle | Zoom |
Nom de l'orateur | Kellendonk |
Prenom de l'orateur | Johannes |
Addresse email de l'orateur | kellendonk [at] math [dot] univ-lyon1 [dot] fr |
Institution de l'orateur | Institut Camille Jordan, Université Claude Bernard Lyon 1 |
Titre | The non-commutative topological approach to topological phases with protecting symmetry |
Résumé | In this talk we review the K-theoretic description of topological phases of insulators and superconductors in the effective one particle approximation. In that approximation, an insulator (or superconductor) is described by a Hamiltonian whose spectrum has a gap at the Fermi energy. Two Hamiltonians belong to the same topological phase if they can be deformed into each other without closing the gap. For this to be well-defined, it is important to specify the space of possible Hamiltonians with its topology. When this space is taken to be a C*-algebra equipped with a real structure and a grading, one can use real graded K-theory and its dual (K-homology or cyclic cohomology) to describe the topological phases and their numerical topological invariants. |
Numéro de preprint arXiv | |
Commentaires | Identifiant Zoom: 968 7367 5661 (Code:958244) |
Fichiers attachés |
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[ English version ] |