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SUMMARY:Maciej Zworski (UC Berkeley)
DTSTART:20210305T150000Z
DTEND:20210305T170000Z
DTSTAMP:20260423T021048Z
UID:OpenPDEA/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OpenPDEA/5/"
 >(LECTURE)  Introduction to non-self-adjoint operators: a case study using
  a  model of twisted bilayer graphene.</a>\nby Maciej Zworski (UC Berkeley
 ) as part of Open PDE and analysis seminar and lectures\n\n\nAbstract\nI w
 ill use a simple model from physics \n(Tarnopolsky--Kruchkov--Vishwanath\,
  2019) to illustrate the wealth of \nstrange phenomena possible for non-se
 lf-adjoint (or rather non-normal) \noperators. The model\, which is a simp
 le operator on the torus\, explains \nthe origin of ``magic angles" in twi
 sted bilayer graphene\, a hot topic \nin physics going by the name of twis
 tronics: when two sheets of graphene \nare twisted at a special angle\, th
 e material becomes a superconductor. \nBut please do not be scared by the 
 physics: the talk will be an \nelementary blend of spectral theory\, semic
 lassical version of \nHörmander's commutator condition\, representation t
 heory of the finite \nHeisenberg group\, and theta functions. Easy to stat
 e open problems will \nalso be presented and the results will be illustrat
 ed by colorful \nnumerics. Based on joint work with S Becker\, J Wittsten 
 and M Embree.\n
LOCATION:https://researchseminars.org/talk/OpenPDEA/5/
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