Status | Confirmed |
Seminar Series | SEM-DARBOUX |
Subjects | cond-mat,hep-th,math.MP |
Date | Thursday 4 February 2021 |
Time | 11:00 |
Institute | LPTHE |
Seminar Room | Zoom |
Speaker's Last Name | Kellendonk |
Speaker's First Name | Johannes |
Speaker's Email Address | kellendonk [at] math [dot] univ-lyon1 [dot] fr |
Speaker's Institution | Institut Camille Jordan, Université Claude Bernard Lyon 1 |
Title | The non-commutative topological approach to topological phases with protecting symmetry |
Abstract | 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. |
arXiv Preprint Number | |
Comments | Identifiant Zoom: 968 7367 5661 (Code:958244) |
Attachments |
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