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Overview on elliptic multiple zeta values

Abstract:

We give an overview of some work on elliptic multiple zeta values. First defined by Enriquez as the coefficients of the elliptic KZB associator, elliptic multiple zeta values are also special values of multiple elliptic polylogarithms in the sense of Brown and Levin. Common to both approaches to elliptic multiple zeta values is their representation as iterated integrals on a once-punctured elliptic curve. Having compared the two approaches, we survey various recent results about the algebraic...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-030-37031-2_5

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Springer Nature
Host title:
Springer Proceedings in Mathematics and Statistics
Journal:
Springer Proceedings in Mathematics & Statistics More from this journal
Volume:
314
Pages:
105-132
Publication date:
2020-03-14
Acceptance date:
2017-04-25
Event title:
ICMAT-MZV 2014: Periods in Quantum Field Theory and Arithmetic
Event location:
ICMAT, Madrid, Spain
Event website:
https://link.springer.com/bookseries/10533
Event start date:
2014-09-01
Event end date:
2014-12-31
DOI:
EISSN:
2194-1017
ISSN:
2194-1009
EISBN:
978-3-030-37031-2
ISBN:
978-3-030-37030-5
Language:
English
Keywords:
Pubs id:
1131572
Local pid:
pubs:1131572
Deposit date:
2020-09-25

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