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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">cheb</journal-id><journal-title-group><journal-title xml:lang="ru">Чебышевский сборник</journal-title><trans-title-group xml:lang="en"><trans-title>Chebyshevskii Sbornik</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2226-8383</issn><publisher><publisher-name>Tula State Lev Tolstoy  Pedagogical University</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.22405/2226-8383-2020-21-3-68-83</article-id><article-id custom-type="elpub" pub-id-type="custom">cheb-852</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Статьи</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Article</subject></subj-group></article-categories><title-group><article-title>О гипотезе Ленглендса, глобальных полях и (Д)-штуках</article-title><trans-title-group xml:lang="en"><trans-title>On Langlands program, global fields and shtukas</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Глазунов</surname><given-names>Николай Михайлович</given-names></name><name name-style="western" xml:lang="en"><surname>Glazunov</surname><given-names>Nikolay Mihaylovich</given-names></name></name-alternatives><bio xml:lang="ru"><p>доктор физико-математических наук, профессор</p></bio><bio xml:lang="en"><p>doctor of physical and mathematical Sciences, Professor</p></bio><email xlink:type="simple">glanm@yahoo.com</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Национальный авиационный университет</institution><country>Украина</country></aff><aff xml:lang="en"><institution>National Aviation University</institution><country>Ukraine</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2020</year></pub-date><pub-date pub-type="epub"><day>25</day><month>12</month><year>2020</year></pub-date><volume>21</volume><issue>3</issue><fpage>68</fpage><lpage>83</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Глазунов Н.М., 2020</copyright-statement><copyright-year>2020</copyright-year><copyright-holder xml:lang="ru">Глазунов Н.М.</copyright-holder><copyright-holder xml:lang="en">Glazunov N.M.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.chebsbornik.ru/jour/article/view/852">https://www.chebsbornik.ru/jour/article/view/852</self-uri><kwd-group xml:lang="ru"><kwd>соответствие Ленглендса</kwd><kwd>глобальное поле</kwd><kwd>модуль Дринфельда</kwd><kwd>шту- ка</kwd><kwd>конечная штука</kwd><kwd>локальный модуль Андерсона</kwd><kwd>кокасательный комплекс</kwd><kwd>формальная группа</kwd></kwd-group><kwd-group xml:lang="en"><kwd>Langlands correspondence</kwd><kwd>global field</kwd><kwd>Drinfeld module</kwd><kwd>shtuka</kwd><kwd>finite shtuka</kwd><kwd>local Anderson-module</kwd><kwd>cotangent complex</kwd><kwd>formal group</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">R. 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