{"id":7222,"date":"2022-04-28T20:51:37","date_gmt":"2022-04-28T20:51:37","guid":{"rendered":"https:\/\/www.tun.com\/courses\/2019\/12\/23\/jacobi-modular-forms-30-ans-apres\/"},"modified":"2022-04-28T20:51:37","modified_gmt":"2022-04-28T20:51:37","slug":"jacobi-modular-forms-30-ans-apres","status":"publish","type":"post","link":"https:\/\/www.tun.com\/courses\/jacobi-modular-forms-30-ans-apres\/national-research-university-higher-school-of-economics\/","title":{"rendered":"Jacobi modular forms: 30 ans apr\u00e8s"},"content":{"rendered":"
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Description<\/h2>\n

This is a master course given in Moscow at the Laboratory of Algebraic Geometry of the National Research University Higher School of Economics by Valery Gritsenko, a professor of University Lille 1, France.
\nJacobi forms are holomorphic functions in two complex variables. They are modular in one variable and abelian (or double periodic) in another variable. The theory of Jacobi modular forms became an independent research subject after the famous book of Martin Eichler and Don Zagier \u201cJacobi modular forms\u201d (Progress in Mathematics, vol. 55, 1985) which was cited more than a thousand times in research papers. This is due to many applications of Jacobi forms in arithmetic, topology, algebraic and differential geometry, mathematical and theoretical physics, in the theory of Lie algebras, etc. The list of mentioned subjects shows that my course might be useful for master and Ph.D. students working in different directions.
\nMotivated undergraduate students can also study this subject. To follow the course one has to know only elementary basic facts from the theory of modular forms (for example, the paragraphs 1-4 of the chapter VII of Serre\u2019s \u201cA Course in Arithmetic\u201d are enough).
\nThe main hero of the course is the Jacobi theta-series. Using it we will construct a lot of concrete examples of Jacobi forms in one or many abelian variables, in particular, Jacobi forms for root systems.
\nFor some of you, who will be successful with the theoretical exercises of the course, I am ready to formulate research problems for Master or Ph.D. thesis. (Ph.D. support might be available at CEMPI in Lille or at the Faculty of Mathematics of National Research University Higher School of Economics in Moscow)<\/p>\n

Do you have technical problems? Write to us: coursera@hse.ru<\/p>\n

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Price: Enroll For Free!<\/h2>\n
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View Class<\/a><\/div>\n
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Language:<\/strong> <\/em>English<\/p>\n<\/div>\n

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Subtitles<\/strong>: <\/em>English<\/p>\n<\/div>\n<\/div>\n

Jacobi modular forms: 30 ans apr\u00e8s – National Research University Higher School of Economics<\/strong><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Description This is a master course given in Moscow at the Laboratory of Algebraic Geometry of the National Research University Higher School of Economics by Valery Gritsenko, a professor of University Lille 1, France. Jacobi forms are holomorphic functions in two complex variables. They are modular in one variable and abelian (or double periodic) in […]<\/p>\n","protected":false},"author":1,"featured_media":19319,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[187],"tags":[],"class_list":["post-7222","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-national-research-university-higher-school-of-economics"],"aioseo_notices":[],"uagb_featured_image_src":{"full":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/National-Research-University-Higher-School-of-Economicsonline-education.png",375,224,false],"thumbnail":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/National-Research-University-Higher-School-of-Economicsonline-education-150x150.png",150,150,true],"medium":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/National-Research-University-Higher-School-of-Economicsonline-education-300x179.png",300,179,true],"medium_large":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/National-Research-University-Higher-School-of-Economicsonline-education.png",375,224,false],"large":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/National-Research-University-Higher-School-of-Economicsonline-education.png",375,224,false],"1536x1536":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/National-Research-University-Higher-School-of-Economicsonline-education.png",375,224,false],"2048x2048":["https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/National-Research-University-Higher-School-of-Economicsonline-education.png",375,224,false]},"uagb_author_info":{"display_name":"Axiom Pegasus","author_link":"https:\/\/www.tun.com\/courses\/author\/magic\/"},"uagb_comment_info":0,"uagb_excerpt":"Description This is a master course given in Moscow at the Laboratory of Algebraic Geometry of the National Research University Higher School of Economics by Valery Gritsenko, a professor of University Lille 1, France. Jacobi forms are holomorphic functions in two complex variables. They are modular in one variable and abelian (or double periodic) in…","featured_media_src_url":"https:\/\/www.tun.com\/courses\/wp-content\/uploads\/2019\/12\/National-Research-University-Higher-School-of-Economicsonline-education.png","_links":{"self":[{"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/posts\/7222","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/comments?post=7222"}],"version-history":[{"count":0,"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/posts\/7222\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/media\/19319"}],"wp:attachment":[{"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/media?parent=7222"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/categories?post=7222"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.tun.com\/courses\/wp-json\/wp\/v2\/tags?post=7222"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}