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SUMMARY:Federico Zerbini (IPhT CEA-Saclay)
DTSTART:20210521T083000Z
DTEND:20210521T093000Z
DTSTAMP:20260423T040004Z
UID:RSVP/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/RSVP/11/">Ne
 w modular forms from string theory\, and single-valued periods</a>\nby Fed
 erico Zerbini (IPhT CEA-Saclay) as part of Rendez-vous on special values a
 nd periods\n\n\nAbstract\nI will introduce a class of modular forms\, call
 ed modular graph functions\, which originate from the computation of Feynm
 an integrals in string theory. \nModular graph functions generalise real a
 nalytic Eisenstein series\, their expansion coefficients are multiple zeta
  values\, and they are conjecturally related to the theory of single-value
 d periods\, which I will briefly review. \nIn particular\, the expansion c
 oefficients are conjectured to belong to a small subalgebra of the multipl
 e zeta values whose elements are single-valued periods. \n\nI will present
  a proof of this conjecture for the simplest kind of Feynman integrals\, o
 btained in collaboration with Don Zagier. \nI will also mention how modula
 r graph functions are expected to be related to iterated extensions of pur
 e motives of modular forms\, and how one can attach $L$-functions to them.
 \n
LOCATION:https://researchseminars.org/talk/RSVP/11/
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