AIMR Math Group Seminar #9


Date : November 24th (Fri.) 10:00-

Place:3C, AIMR Main Bldg., Katahira campus, Tohoku University

SpeakerDr. Chris BOURNE

Title: Topology and topological phases of aperiodic and amorphous lattices



Topological phases of lattices usually require a periodic
structure that allows one to take a Fourier transform (Bloch
decomposition). However there are many materials and examples that do not satisfy this assumption (quasicrystals, amorphous materials etc.).
In this talk, I will show that for quite general discrete lattices, we
can still describe topological properties and topological phases of
non-periodic lattices using the dynamics and algebraic properties of the
translation action. I will also try and do this assuming minimal prior
physical or mathematical background.




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 Advanced Institute for Materials Research Tohoku University Mathematical Group
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