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SUMMARY:Simon Becker (University of Cambridge)
DTSTART:20210301T170000Z
DTEND:20210301T180000Z
DTSTAMP:20260423T024655Z
UID:QM3/41
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QM3/41/">Mat
 hematics of magic angles for twisted bilayer graphene</a>\nby Simon Becker
  (University of Cambridge) as part of Quantum Matter meets Maths (IST\, Li
 sbon)\n\n\nAbstract\nMagic angles are a hot topic in condensed matter phys
 ics: when two sheets of graphene are twisted by those angles the resulting
  material is superconducting. Please do not be scared by the physics thoug
 h: I will present a very simple operator whose spectral properties are tho
 ught to determine which angles are magical. It comes from a recent PR Lett
 er by Tarnopolsky–Kruchkov–Vishwanath. The mathematics behind this is 
 an elementary blend of representation theory (of the Heisenberg group in c
 haracteristic three)\, Jacobi theta functions and spectral instability of 
 non-self-adjoint operators (involving Hoermander’s bracket condition in 
 a very simple setting). The results will be illustrated by colourful numer
 ics which suggest some open problems. This is joint work with M. Embree\, 
 J. Wittsten\, and M. Zworski.\n
LOCATION:https://researchseminars.org/talk/QM3/41/
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