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 |
- Paris2021.pdf (213998 bytes)
|