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A noncommutative perspective on the Integer Quantum Hall Effect (IQHE)

Speaker: 
Domenico Monaco
Institution: 
SISSA
Schedule: 
Tuesday, March 12, 2013 - 15:00 to 16:30
Location: 
A-136
Abstract: 

In this second seminar, I will present some noncommutative geometric
methods in the mathematical treatment of the Integer Quantum Hall Effect
(IQHE). I will first illustrate Classical and Quantum Hall effects,
discussing the role of disorder. Then I will state the Kubo formula for
the Hall conductivity, and give a sketch of the techniques from
noncommutative geometry which are involved in its proof.
Based on: J. Bellissard, A. van Elst, H. Schulz-Baldes, "The
Noncommutative Geometry of the Quantum Hall Effect", J. Math. Phys. 35,
5373 (1994).

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