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BEGIN:VEVENT
UID:199@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20140402T143000
DTEND;TZID=Europe/Paris:20140402T153000
DTSTAMP:20140318T133000Z
URL:https://www.i2m.univ-amu.fr/evenements/operators-appearing-in-teichmul
 ler-theory-and-conformal-field-theory/
SUMMARY: (...): Operators appearing in Teichmuller theory and conformal fie
 ld theory
DESCRIPTION:: This talk will describe the singular integral operators that 
 appear in Teichmuller theory\, including the Hilbert transform on the circ
 le and in the complex plane. These can be used to solve problems of gluing
  and uniformisation of multiply connected domains. They also can be used t
 o understand the Szego projections onto the Hardy spaces of these domains.
  These provide elements of a universal fermionic semigroup\, which can be 
 "quantised" through Hilbert-Schmidt operators. Composition of operators co
 rresponds to gluing of domains. It leads to a theory on bordered Riemann s
 urfaces with spin structure\, understood in terms of half-order differenti
 als and the Arf invariant. The building blocks are annuli and trinions. An
 nuli result in a holomorphic semigroup\, due to Graeme Segal and Neretin\,
  that provides a complexification of the diffeomorphism group of the circl
 e. Trinions or two-holed discs encode completely the structure of the vert
 ex operator algebra of a single complex fermion.https://www.dpmms.cam.ac.u
 k/~ajw/
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DTSTART:20140330T030000
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