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SUMMARY:Reflections and sum-rules for CFTs and modular forms - David McGad
 y (Niels Bohr\, Copenhagen)
DTSTART:20191128T130000Z
DTEND:20191128T140000Z
UID:TALK131119@talks.cam.ac.uk
CONTACT:Dr. Carl Turner
DESCRIPTION:In this talk\, we discuss conformal field theories in two dime
 nsions (2d CFTs) and aspects of the theory of modular forms. Physical cons
 iderations lead us to study two extensions to the theory of modular forms:
  modular forms for GL2(Z) that are defined on the double half-plane (in di
 stinction to SL2(Z) modular forms defined on the upper half-plane)\, and L
 -functions for modular forms with poles *within* the fundamental domain. W
 e introduce both concepts\, and discuss their consistency\, both with each
  other and with the physical considerations which led to them. Finally\, w
 e note that very similar physical considerations may apply to finite-tempe
 rature path integrals for generic QFTs in higher dimensions\, and comment 
 on possible consequences of this.
LOCATION:Potter Room (first floor\, Pav. B)
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