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Durham University

Research & business

Research lectures, seminars and events

The events listed in this area are research seminars, workshops and lectures hosted by Durham University departments and research institutes. If you are not a member of the University, but  wish to enquire about attending one of the events please contact the organiser or host department.


November 2019
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Events for 1 November 2019

Erik Panzer: Modular graph functions as iterated Eisenstein integrals

1:00pm, CM101

Superstring scattering amplitudes in genus one have a low-energy
expansion in terms of real analytic modular forms called
'modular graph functions' (D'Hoker/Green/G├╝rdogan/Vanhove). These
functions are 'non-abelian' generalizations of real analytic
Eisenstein series, and I will explain what this means. Concretely,
they can be expressed as iterated integrals of holomorphic and
antiholomorphic modular forms, as introduced by Francis Brown.
I will sketch the proof that modular graph functions have such an
expansion, which explains their key properties.
The main tools are elliptic multiple polylogarithms (Brown/Levin),
single-valued versions thereof, and elliptic multiple zeta values

Contact,, for more information about this event.