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SUMMARY:String scattering and generalized automorphic forms i - Oliver Sch
 lotterer (Uppsala Universitet)
DTSTART:20220801T133000Z
DTEND:20220801T143000Z
UID:TALK176153@talks.cam.ac.uk
DESCRIPTION:The goal of this lecture series is to provide a lightning intr
 oduction to string perturbation theory and to illustrate the rich mathemat
 ical structures of loop-level amplitudes. As a key example\, genus-one con
 tributions to closed-string scattering amplitudes will be shown to natural
 ly introduce infinite generalizations of automorphic forms known as ``modu
 lar graph forms''. I will discuss their connections with multiple zeta val
 ues seen in closed-string genus-zero amplitudes and with iterated integral
 s over holomorphic Eisenstein series. Moreover\, I will sketch basic ideas
  of higher-genus generalizations of modular graph forms.
LOCATION:Seminar Room 1\, Newton Institute
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