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T-duality and the condensed matter bulk-boundary correspondence

Presented by: 
Keith Hannabuss University of Oxford
Date: 
Tuesday 7th March 2017 - 14:00 to 15:00
Venue: 
INI Seminar Room 2
Abstract: 
This talk will start with a brief historical review of the classification of solids by their symmetries, and the more recent K-theoretic periodic table of Kitaev. It will then consider some mathematical questions this raises, in particular about the behaviour of electrons on the boundary of materials and in the bulk. Two rather different models will be described, which turn out to be related by T-duality. Relevant ideas from noncommutative geometry will be explained where needed.



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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons