<?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-03018441</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="2026-05-02T18:18:51+02:00"/>
      </publicationStmt>
      <sourceDesc>
        <p part="N">HAL API Platform</p>
      </sourceDesc>
    </fileDesc>
  </teiHeader>
  <text>
    <body>
      <listBibl>
        <biblFull>
          <titleStmt>
            <title xml:lang="en">The p-completed cyclotomic trace in degree 2</title>
            <author role="aut">
              <persName>
                <forename type="first">Johannes</forename>
                <surname>Anschütz</surname>
              </persName>
              <idno type="halauthorid">2079226-0</idno>
              <affiliation ref="#struct-1042458"/>
            </author>
            <author role="aut">
              <persName>
                <forename type="first">Arthur-César</forename>
                <surname>Le Bras</surname>
              </persName>
              <email type="md5">e12bc94b80348a183e60d842d1cb3174</email>
              <email type="domain">math.univ-paris13.fr</email>
              <idno type="idhal" notation="string">arthur-cesar-le-bras</idno>
              <idno type="idhal" notation="numeric">739854</idno>
              <idno type="halauthorid" notation="string">1082314-739854</idno>
              <affiliation ref="#struct-581232"/>
            </author>
            <editor role="depositor">
              <persName>
                <forename>Arthur-César</forename>
                <surname>Le Bras</surname>
              </persName>
              <email type="md5">59d7230ad356b8c2e90b6c519dda3c97</email>
              <email type="domain">math.unistra.fr</email>
            </editor>
          </titleStmt>
          <editionStmt>
            <edition n="v1" type="current">
              <date type="whenSubmitted">2020-11-22 17:34:51</date>
              <date type="whenModified">2025-12-23 11:22:07</date>
              <date type="whenReleased">2020-11-25 14:38:10</date>
              <date type="whenProduced">2020</date>
              <date type="whenEndEmbargoed">2020-11-22</date>
              <ref type="file" target="https://hal.science/hal-03018441v1/document">
                <date notBefore="2020-11-22"/>
              </ref>
              <ref type="file" subtype="author" n="1" target="https://hal.science/hal-03018441v1/file/cyclotomic_trace_final_version.pdf" id="file-3018441-2657827">
                <date notBefore="2020-11-22"/>
              </ref>
            </edition>
            <respStmt>
              <resp>contributor</resp>
              <name key="850214">
                <persName>
                  <forename>Arthur-César</forename>
                  <surname>Le Bras</surname>
                </persName>
                <email type="md5">59d7230ad356b8c2e90b6c519dda3c97</email>
                <email type="domain">math.unistra.fr</email>
              </name>
            </respStmt>
          </editionStmt>
          <publicationStmt>
            <distributor>CCSD</distributor>
            <idno type="halId">hal-03018441</idno>
            <idno type="halUri">https://hal.science/hal-03018441</idno>
            <idno type="halBibtex">anschutz:hal-03018441</idno>
            <idno type="halRefHtml">&lt;i&gt;Annals of K-Theory&lt;/i&gt;, 2020, 5 (3), pp.539-580. &lt;a target="_blank" href="https://dx.doi.org/10.2140/akt.2020.5.539"&gt;&amp;#x27E8;10.2140/akt.2020.5.539&amp;#x27E9;&lt;/a&gt;</idno>
            <idno type="halRef">Annals of K-Theory, 2020, 5 (3), pp.539-580. &amp;#x27E8;10.2140/akt.2020.5.539&amp;#x27E9;</idno>
            <availability status="restricted">
              <licence target="https://about.hal.science/hal-authorisation-v1/">HAL Authorization<ref corresp="#file-3018441-2657827"/></licence>
            </availability>
          </publicationStmt>
          <seriesStmt>
            <idno type="stamp" n="UNIV-PARIS13">Université Paris-Nord - Paris XIII </idno>
            <idno type="stamp" n="UNIV-PARIS8" corresp="UNIV-PARIS-LUMIERES">Université Paris VIII Vincennes-Saint Denis</idno>
            <idno type="stamp" n="CNRS">CNRS - Centre national de la recherche scientifique</idno>
            <idno type="stamp" n="LAGA" corresp="UNIV-PARIS13">Laboratoire d'Analyse, Géométrie et Applications</idno>
            <idno type="stamp" n="INSMI">CNRS-INSMI - INstitut des Sciences Mathématiques et de leurs Interactions</idno>
            <idno type="stamp" n="LM-ORSAY">Laboratoire de Mathématiques d'Orsay</idno>
            <idno type="stamp" n="USPC">Université Sorbonne Paris Cité</idno>
            <idno type="stamp" n="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="UNIV-PARIS-LUMIERES"/>
            <idno type="stamp" n="SORBONNE-PARIS-NORD">Université Sorbonne Paris Nord</idno>
            <idno type="stamp" n="UNIVERSITE-PARIS-SACLAY" corresp="UNIV-PARIS-SACLAY">Université Paris-Saclay</idno>
            <idno type="stamp" n="GS-MATHEMATIQUES">Graduate School Mathématiques</idno>
            <idno type="stamp" n="UNIV-PARIS8-OA" corresp="UNIV-PARIS8">HAL UNIV-PARIS8 - open access</idno>
            <idno type="stamp" n="ACT-R" corresp="UNIV-PARIS13">Act'R </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">The p-completed cyclotomic trace in degree 2</title>
                <author role="aut">
                  <persName>
                    <forename type="first">Johannes</forename>
                    <surname>Anschütz</surname>
                  </persName>
                  <idno type="halauthorid">2079226-0</idno>
                  <affiliation ref="#struct-1042458"/>
                </author>
                <author role="aut">
                  <persName>
                    <forename type="first">Arthur-César</forename>
                    <surname>Le Bras</surname>
                  </persName>
                  <email type="md5">e12bc94b80348a183e60d842d1cb3174</email>
                  <email type="domain">math.univ-paris13.fr</email>
                  <idno type="idhal" notation="string">arthur-cesar-le-bras</idno>
                  <idno type="idhal" notation="numeric">739854</idno>
                  <idno type="halauthorid" notation="string">1082314-739854</idno>
                  <affiliation ref="#struct-581232"/>
                </author>
              </analytic>
              <monogr>
                <idno type="halJournalId" status="VALID">134654</idno>
                <idno type="issn">2379-1683</idno>
                <idno type="eissn">2379-1691</idno>
                <title level="j">Annals of K-Theory</title>
                <imprint>
                  <publisher>Mathematical Sciences Publishers (MSP)</publisher>
                  <biblScope unit="volume">5</biblScope>
                  <biblScope unit="issue">3</biblScope>
                  <biblScope unit="pp">539-580</biblScope>
                  <date type="datePub">2020</date>
                </imprint>
              </monogr>
              <idno type="doi">10.2140/akt.2020.5.539</idno>
            </biblStruct>
          </sourceDesc>
          <profileDesc>
            <langUsage>
              <language ident="en">English</language>
            </langUsage>
            <textClass>
              <classCode scheme="halDomain" n="math">Mathematics [math]</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 prove that for a quasi-regular semiperfectoid Z cycl p-algebra R (in the sense of Bhatt-Morrow-Scholze), the cyclotomic trace map from the p-completed K-theory spectrum K(R; Zp) of R to the topological cyclic homology TC(R; Zp) of R identifies on π 2 with a q-deformation of the logarithm.</p>
            </abstract>
          </profileDesc>
        </biblFull>
      </listBibl>
    </body>
    <back>
      <listOrg type="structures">
        <org type="laboratory" xml:id="struct-1042458" status="VALID">
          <idno type="IdRef">152028714</idno>
          <idno type="ISNI">0000000121434842</idno>
          <idno type="RNSR">199812953T</idno>
          <idno type="ROR">https://ror.org/03ab0zs98</idno>
          <orgName>Laboratoire de Mathématiques d'Orsay</orgName>
          <orgName type="acronym">LMO</orgName>
          <date type="start">2020-01-01</date>
          <desc>
            <address>
              <addrLine>Bâtiment 307, 91405, Orsay cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.imo.universite-paris-saclay.fr/fr/la-recherche/</ref>
          </desc>
          <listRelation>
            <relation active="#struct-419361" type="direct"/>
            <relation name="UMR8628" active="#struct-441569" type="direct"/>
          </listRelation>
        </org>
        <org type="laboratory" xml:id="struct-581232" status="VALID">
          <idno type="IdRef">086041142</idno>
          <idno type="ISNI">0000000106421613</idno>
          <idno type="RNSR">199712596J</idno>
          <idno type="ROR">https://ror.org/018nzqy79</idno>
          <orgName>Laboratoire Analyse, Géométrie et Applications</orgName>
          <orgName type="acronym">LAGA</orgName>
          <date type="start">2020-01-01</date>
          <desc>
            <address>
              <addrLine>Institut Galilée, 99 avenue Jean-Baptiste Clément, F-93430, Villetaneuse, France</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.math.univ-paris13.fr/laga/</ref>
          </desc>
          <listRelation>
            <relation name="UMR7539" active="#struct-11141" type="direct"/>
            <relation name="UMR7539" active="#struct-441569" type="direct"/>
            <relation name="UMR7539" active="#struct-581146" type="direct"/>
          </listRelation>
        </org>
        <org type="institution" xml:id="struct-419361" status="VALID">
          <idno type="IdRef">241345251</idno>
          <idno type="ROR">https://ror.org/03xjwb503</idno>
          <orgName>Université Paris-Saclay</orgName>
          <desc>
            <address>
              <addrLine>Bâtiment Bréguet, 3 Rue Joliot Curie 2e ét, 91190 Gif-sur-Yvette</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.universite-paris-saclay.fr/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="institution" xml:id="struct-11141" status="VALID">
          <idno type="IdRef">026403552</idno>
          <idno type="ISNI">0000000121083026</idno>
          <idno type="ROR">https://ror.org/04wez5e68</idno>
          <orgName>Université Paris 8</orgName>
          <orgName type="acronym">UP8</orgName>
          <date type="start">1971-01-01</date>
          <desc>
            <address>
              <addrLine>2 rue de la Liberté - 93526 Saint-Denis cedex</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">http://www.univ-paris8.fr/</ref>
          </desc>
        </org>
        <org type="institution" xml:id="struct-581146" status="VALID">
          <idno type="IdRef">02640463X</idno>
          <idno type="ISNI">0000000121496883</idno>
          <idno type="ROR">https://ror.org/0199hds37</idno>
          <orgName>Université Sorbonne Paris Nord</orgName>
          <date type="start">2020-01-01</date>
          <desc>
            <address>
              <addrLine>99, avenue Jean-Baptiste Clément, 93430 Villetaneuse</addrLine>
              <country key="FR"/>
            </address>
            <ref type="url">https://www.univ-paris13.fr/</ref>
          </desc>
        </org>
      </listOrg>
    </back>
  </text>
</TEI>