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DTSTAMP;TZID=America/Vancouver:20221209T141500
DTSTART;TZID=America/Vancouver:20221209T141500
DTEND;TZID=America/Vancouver:20221209T150500

UID:20221209T141500@prima2022.primamath.org
SUMMARY:On the hyperbolic Bloch transform
DESCRIPTION:In this talk, motivated by recent theoretical and experimental developments in the physics of hyperbolic crystals, I will introduce the noncommutative Bloch transform of Fuchsian groups, that we call the hyperbolic Bloch transform. I will prove that the hyperbolic Bloch transform is injective and "asymptotically unitary" and I will introduce a modified, geometric, Bloch transform, that transforms wave functions to sections of irreducible, flat, Hermitian vector bundles over the orbit space and transforms the hyperbolic Laplacian into the covariant Laplacian. If time permits, I will talk about potential applications to hyperbolic band theory. This is a joint work with Steve Rayan.
STATUS:CONFIRMED
LOCATION:Orca
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