Single-valued multiple zeta values, and a class of modular forms from string theory

Federico Zerbini (Université Paris-Saclay)

08-Dec-2020, 08:00-08:30 (3 years ago)

Abstract: Single-valued multiple zeta values are special values at z=1 of single-valued multiple polylogarithms. They form a small subalgebra of the multiple zeta values, which was first studied in 2013 by Francis Brown and which seems to play an important role in string theory. In particular, genus-one string theory amplitudes can be written in terms of a new class of non-holomorphic modular functions whose asymptotic expansion coefficients are conjectured to be single-valued multiple zeta values. I will introduce this class of functions, known in physics as "modular graph functions", and I will report on the proof of the conjecture for "two-point functions", obtained last year in collaboration with Don Zagier.

number theory

Audience: researchers in the topic


Japan Europe Number Theory Exchange Seminar

Series comments: The purpose of the Japan Europe Number Theory Exchange Seminar is to give a opportunity for researchers in Japan and Europe to exchange their research projects by giving short talks (30 min). The target audience are researchers of any level in the area of number theory.

Start for Fall 2021: 26th October

Organizers: Henrik Bachmann*, Nils Matthes
*contact for this listing

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