Cookies

We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

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
SunMonTueWedThuFriSat
October 2019 December 2019
1 2
3 4 5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23
24 25 26 27 28 29 30

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
(Enriquez).

Contact christiana.pantelidou@durham.ac.uk, mathew.r.bullimore@durham.ac.uk, edoardo.lauria@durham.ac.uk for more information about this event.