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Depth-graded motivic multiple zeta values

Abstract:

We study the depth filtration on multiple zeta values, on the motivic Galois group of mixed Tate motives over Z and on the Grothendieck–Teichmüller group, and its relation to modular forms. Using period polynomials for cusp forms for SL2(Z), we construct an explicit Lie algebra of solutions to the linearized double shuffle equations, which gives a conjectural description of all identities between multiple zeta values modulo ζ(2) and modulo lower depth. We formulate a single conjecture about t...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1112/S0010437X20007654

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Foundation Compositio Mathematica Publisher's website
Journal:
Compositio Mathematica Journal website
Volume:
157
Issue:
3
Pages:
529-572
Publication date:
2021-03-22
Acceptance date:
2020-10-08
DOI:
EISSN:
1570-5846
ISSN:
0010-437X
Language:
English
Keywords:
Pubs id:
1136517
Local pid:
pubs:1136517
Deposit date:
2020-10-08

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