Friday, January 25, 2019 - 16:15 in T2-213
Introduction to the non commutative topology of topological insulators
A talk in the Kolloquium Mathematische Physik series by
Johannes Kellendonk
| Abstract: |
Topological insulators are insulating materials which are in
a topological non-trivial phase.
Perhaps the most exciting consequence of this is the existence of
boundary resonances (for instance boundary currents)
which are robust against disorder. Mathematically this is related to a
bulk boundary correspondance linking
topological invariants of the bulk of the material to topological
invariants associated to the boundary.
Our approach uses K-theory and cyclic cohomology of operator algebras.
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