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SUMMARY:Dimitri Zvonkine (Université de Versailles Saint-Quentin-en-Yveli
 nes)
DTSTART:20220930T080000Z
DTEND:20220930T090000Z
DTSTAMP:20260423T024517Z
UID:CGP-MP/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CGP-MP/32/">
 Fractional quantum Hall effect via the Grothendieck-Riemann-Roch formula</
 a>\nby Dimitri Zvonkine (Université de Versailles Saint-Quentin-en-Yvelin
 es) as part of IBS-CGP Mathematical Physics Seminar\n\n\nAbstract\nWe stud
 y the fractional quantum Hall effect on a Riemann surface of genus g trave
 rsed by a magnetic field of total flux d. The wave functions of charged pa
 rticles have a semi-phenomenological description by Laughlin states. These
  states can be studied by methods of algebraic geometry: they form a holom
 orphic vector bundle over the d-th Picard group of the Riemann surface. Th
 e Chern characters of this vector bundle can be computed by the Grothendie
 ck-Riemann-Roch formula. In a fully filled state the Chern character we ob
 tain is compatible with the existence of a projectively flat connection on
  the vector bundle. In a state with quasiholes our computation implies tha
 t no such connection can exist. This is joint work with Semyon Klevtsov.\n
LOCATION:https://researchseminars.org/talk/CGP-MP/32/
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