<?xml version="1.0" encoding="utf-8"?>
<TEI xmlns="http://www.tei-c.org/ns/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:hal="http://hal.archives-ouvertes.fr/" xmlns:gml="http://www.opengis.net/gml/3.3/" xmlns:gmlce="http://www.opengis.net/gml/3.3/ce" version="1.1" xsi:schemaLocation="http://www.tei-c.org/ns/1.0 http://api.archives-ouvertes.fr/documents/aofr-sword.xsd">
  <teiHeader>
    <fileDesc>
      <titleStmt>
        <title>HAL TEI export of hal-02564546</title>
      </titleStmt>
      <publicationStmt>
        <distributor>CCSD</distributor>
        <availability status="restricted">
          <licence target="https://creativecommons.org/publicdomain/zero/1.0/">CC0 1.0 - Universal</licence>
        </availability>
        <date when="2026-05-14T01:39:33+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">Ellipsitomic Associators</title>
            <title xml:lang="fr">Associateurs ellipsitomiques</title>
            <author role="aut">
              <persName>
                <forename type="first">Damien</forename>
                <surname>Calaque</surname>
              </persName>
              <email type="md5">3fce5b2cb7ef9d1a51323c4f071e4a0f</email>
              <email type="domain">umontpellier.fr</email>
              <idno type="idhal" notation="string">damien-calaque</idno>
              <idno type="idhal" notation="numeric">7156</idno>
              <idno type="halauthorid" notation="string">28379-7156</idno>
              <idno type="IDREF">https://www.idref.fr/099468530</idno>
              <idno type="ORCID">https://orcid.org/0000-0003-4463-1536</idno>
              <idno type="ARXIV">https://arxiv.org/a/calaque_d_1</idno>
              <idno type="RESEARCHERID">http://www.researcherid.com/rid/A-7732-2017</idno>
              <idno type="VIAF">https://viaf.org/viaf/197945766</idno>
              <idno type="ISNI">http://isni.org/isni/0000000138783483</idno>
              <affiliation ref="#struct-1100744"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Martin</forename>
                <surname>Gonzalez</surname>
              </persName>
              <email type="md5">69422e7173df0652a3514a4a4950cdb9</email>
              <email type="domain">univ-amu.fr</email>
              <idno type="idhal" notation="string">martin-gonzalez</idno>
              <idno type="idhal" notation="numeric">183860</idno>
              <idno type="halauthorid" notation="string">46750-183860</idno>
              <idno type="ORCID">https://orcid.org/0000-0002-1176-2022</idno>
              <affiliation ref="#struct-363822"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Damien</forename>
                <surname>Calaque</surname>
              </persName>
              <email type="md5">3fce5b2cb7ef9d1a51323c4f071e4a0f</email>
              <email type="domain">umontpellier.fr</email>
            </editor>
            <funder ref="#projeurop-712897"/>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2024-12-30 17:41:35</date>
              <date type="whenModified">2025-01-08 03:38:06</date>
              <date type="whenReleased">2025-01-07 09:30:13</date>
              <date type="whenProduced">2023-12-19</date>
              <date type="whenEndEmbargoed">2024-12-30</date>
              <ref type="file" target="https://hal.science/hal-02564546v1/document">
                <date notBefore="2024-12-30"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-02564546v1/file/EllipsitomicAssoc-SMF-main.pdf" id="file-4859632-4227033">
                <date notBefore="2024-12-30"/>
              </ref>
              <ref type="externalLink" target="http://arxiv.org/pdf/2004.07271"/>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="109403">
                <persName>
                  <forename>Damien</forename>
                  <surname>Calaque</surname>
                </persName>
                <email type="md5">3fce5b2cb7ef9d1a51323c4f071e4a0f</email>
                <email type="domain">umontpellier.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-02564546</idno>
            <idno type="halUri">https://hal.science/hal-02564546</idno>
            <idno type="halBibtex">calaque:hal-02564546</idno>
            <idno type="halRefHtml">&lt;i&gt;Mémoires de la Société Mathématique de France&lt;/i&gt;, 2023, 179, 96p. &lt;a target="_blank" href="https://dx.doi.org/10.24033/msmf.487"&gt;&amp;#x27E8;10.24033/msmf.487&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Mémoires de la Société Mathématique de France, 2023, 179, 96p. &amp;#x27E8;10.24033/msmf.487&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-4859632-4227033"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="I3M_UMR5149">Institut de Mathématiques et de Modélisation de Montpellier</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="OPENAIRE">OpenAIRE</idno>
            <idno type="stamp" n="IMAG-MONTPELLIER">Institut Montpelliérain Alexander Grothendieck</idno>
            <idno type="stamp" n="TDS-MACS">Réseau de recherche en Théorie des Systèmes Distribués, Modélisation, Analyse et Contrôle des Systèmes</idno>
            <idno type="stamp" n="IRT-SYSTEMX">IRT SystemX</idno>
            <idno type="stamp" n="UNIV-MONTPELLIER">Université de Montpellier</idno>
            <idno type="stamp" n="UM-2015-2021" corresp="UNIV-MONTPELLIER">Université de Montpellier (2015-2021)</idno>
            <idno type="stamp" n="UM-EPE" corresp="UNIV-MONTPELLIER">Université de Montpellier - EPE</idno>
          </seriesStmt>
          <notesStmt>
            <note type="audience" n="2">International</note>
            <note type="popular" n="0">No</note>
            <note type="peer" n="1">Yes</note>
          </notesStmt>
          <sourceDesc>
            <biblStruct>
              <analytic>
                <title xml:lang="en">Ellipsitomic Associators</title>
                <title xml:lang="fr">Associateurs ellipsitomiques</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Damien</forename>
                    <surname>Calaque</surname>
                  </persName>
                  <email type="md5">3fce5b2cb7ef9d1a51323c4f071e4a0f</email>
                  <email type="domain">umontpellier.fr</email>
                  <idno type="idhal" notation="string">damien-calaque</idno>
                  <idno type="idhal" notation="numeric">7156</idno>
                  <idno type="halauthorid" notation="string">28379-7156</idno>
                  <idno type="IDREF">https://www.idref.fr/099468530</idno>
                  <idno type="ORCID">https://orcid.org/0000-0003-4463-1536</idno>
                  <idno type="ARXIV">https://arxiv.org/a/calaque_d_1</idno>
                  <idno type="RESEARCHERID">http://www.researcherid.com/rid/A-7732-2017</idno>
                  <idno type="VIAF">https://viaf.org/viaf/197945766</idno>
                  <idno type="ISNI">http://isni.org/isni/0000000138783483</idno>
                  <affiliation ref="#struct-1100744"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Martin</forename>
                    <surname>Gonzalez</surname>
                  </persName>
                  <email type="md5">69422e7173df0652a3514a4a4950cdb9</email>
                  <email type="domain">univ-amu.fr</email>
                  <idno type="idhal" notation="string">martin-gonzalez</idno>
                  <idno type="idhal" notation="numeric">183860</idno>
                  <idno type="halauthorid" notation="string">46750-183860</idno>
                  <idno type="ORCID">https://orcid.org/0000-0002-1176-2022</idno>
                  <affiliation ref="#struct-363822"/>
                </author>
              </analytic>
              <monogr>
                <idno type="localRef">EXT</idno>
                <idno type="halJournalId" status="VALID">39933</idno>
                <idno type="issn">0249-633X</idno>
                <idno type="eissn">2275-3230</idno>
                <title level="j">Mémoires de la Société Mathématique de France</title>
                <imprint>
                  <publisher>Société mathématique de France </publisher>
                  <biblScope unit="volume">179</biblScope>
                  <biblScope unit="pp">96p</biblScope>
                  <date type="datePub">2023-12-19</date>
                </imprint>
              </monogr>
              <idno type="arxiv">2004.07271</idno>
              <idno type="doi">10.24033/msmf.487</idno>
              <idno type="inspire">1791578</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <keywords scheme="author">
                <term xml:lang="en">Associators</term>
                <term xml:lang="en">Operads</term>
                <term xml:lang="en">Groupoids</term>
                <term xml:lang="en">Configuration spaces</term>
                <term xml:lang="en">Braids</term>
                <term xml:lang="en">Chord diagrams</term>
                <term xml:lang="en">Elliptic curves</term>
                <term xml:lang="en">Grothendieck–Teichm¨uller</term>
                <term xml:lang="en">Eisenstein series.</term>
              </keywords>
              <classCode scheme="halDomain" n="phys.mphy">Physics [physics]/Mathematical Physics [math-ph]</classCode>
              <classCode scheme="halTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halOldTypology" n="ART">Journal articles</classCode>
              <classCode scheme="halTreeTypology" n="ART">Journal articles</classCode>
            </textClass>
            <abstract xml:lang="en">
              <p>We develop a notion of ellipsitomic associators by means of operad theory. We take this opportunity to review the operadic point-of-view on Drinfeld associators and to provide such an operadic approach for elliptic associators too. We then show that ellipsitomic associators do exist, using the monodromy of the universal ellipsitomic KZB connection, that we introduced in a previous work. We finally relate the KZB ellipsitomic associator to certain Eisenstein series associated with congruence subgroups of $SL_2(\mathbb{Z})$, and to twisted elliptic multiple zeta values.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-1100744" status="VALID">
          <idno type="ISNI">0000000404890602</idno>
          <idno type="RNSR">200311827X</idno>
          <idno type="ROR">https://ror.org/044kxby82</idno>
          <orgName>Institut Montpelliérain Alexander Grothendieck</orgName>
          <orgName type="acronym">IMAG</orgName>
          <date type="start">2022-01-01</date>
          <desc>
            <address>
              <addrLine>UMR CNRS 5149 - Université Montpellier 2, Case courrier 051, 34095 Montpellier cedex 5 - France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://imag.umontpellier.fr/</ref>
          </desc>
          <listRelation>
            <relation name="UMR5149" active="#struct-441569" type="direct"/>
            <relation active="#struct-1100589" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-363822" status="VALID">
          <idno type="ROR">https://ror.org/03crmsn52</idno>
          <orgName>IRT SystemX</orgName>
          <desc>
            <address>
              <addrLine>Institut de recherche technologique SystemX - 8 Avenue de la Vauve, 91120 Palaiseau</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.irt-systemx.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-441569" status="VALID">
          <idno type="IdRef">02636817X</idno>
          <idno type="ISNI">0000000122597504</idno>
          <idno type="ROR">https://ror.org/02feahw73</idno>
          <orgName>Centre National de la Recherche Scientifique</orgName>
          <orgName type="acronym">CNRS</orgName>
          <date type="start">1939-10-19</date>
          <desc>
            <address>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.cnrs.fr/</ref>
          </desc>
        </org>
        <org type="regroupinstitution" xml:id="struct-1100589" status="VALID">
          <idno type="ROR">https://ror.org/051escj72</idno>
          <orgName>Université de Montpellier</orgName>
          <orgName type="acronym">UM</orgName>
          <date type="start">2022-01-01</date>
          <desc>
            <address>
              <addrLine>163 rue Auguste Broussonnet - 34090 Montpellier</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.umontpellier.fr/</ref>
          </desc>
        </org>
      </listOrg>
      <listOrg type="projects">
        <org type="europeanProject" xml:id="projeurop-712897" status="VALID">
          <idno type="number">768679</idno>
          <idno type="program">ERC-2017-COG</idno>
          <idno type="call">ERC-2017-COG</idno>
          <orgName>DerSympApp</orgName>
          <desc>Derived Symplectic Geometry and Applications</desc>
          <date type="start">2018-09-01</date>
          <date type="end">2024-02-29</date>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>