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DTSTART:20230312T070000
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DTSTART:20231105T060000
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DTSTART;TZID=America/Toronto:20240229T143000
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URL:https://uwaterloo.ca/pure-mathematics/events/geometry-topology-seminar-
 148
SUMMARY:Geometry & Topology Seminar
CLASS:PUBLIC
DESCRIPTION:ÁKOS NAGY\, BEIT CANADA\n\n\"ON THE HYPERBOLIC BLOCH TRANSFORM
 \"\n\nMotivated by recent theoretical and experimental developments in the
 \nphysics of hyperbolic crystals\, I will introduce the noncommutative\nBl
 och transform for Fuchsian groups which I will call the hyperbolic\nBloch 
 transform (HBT). The HBT transforms wave functions on the\nhyperbolic plan
 e to sections of irreducible\, flat\, Hermitian vector\nbundles over the o
 rbit space and transforms the hyperbolic Laplacian\ninto the covariant Lap
 lacian. I will prove that the HBT is injective\nand “asymptotically unit
 ary”. If time permits\, I will talk about\npotential applications to hyp
 erbolic band theory. This is a joint work\nwith Steve Rayan (arXiv:2208.02
 749).\n\nMC 5417
DTSTAMP:20260506T140234Z
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