{"id":213,"date":"2023-12-25T15:42:51","date_gmt":"2023-12-25T15:42:51","guid":{"rendered":"https:\/\/amandahirschi.com\/?page_id=213"},"modified":"2025-08-03T13:44:42","modified_gmt":"2025-08-03T13:44:42","slug":"exchange-seminar","status":"publish","type":"page","link":"https:\/\/amandahirschi.com\/?page_id=213","title":{"rendered":"Exchange Seminar"},"content":{"rendered":"\n<p>This is the schedule of second part of the Exchange seminar, organised together with <a href=\"https:\/\/sites.google.com\/berkeley.edu\/yuanyao\/home\">Yuan Yao<\/a>. The website of the first part can be found <a href=\"https:\/\/sites.google.com\/view\/yuan-yao\/activities-and-seminars\/exchange-seminar\">here<\/a>.<\/p>\n\n\n\n<p><strong>Aim: <\/strong>Learn about virtual fundamental classes and global Kuranishi charts and their applications<br><strong>Format:<\/strong> We read (some of) the references beforehand and then discuss. The meetings are hybrid. (Write me or Yuan an email if you want to join.)<br><strong>Time:<\/strong>  The exact meeting time will be communicated via mail.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li class=\"has-medium-font-size\">Meeting 1: basic definitions of orbifolds in terms of groupoids\n<ul class=\"wp-block-list\">\n<li><em><a href=\"https:\/\/arxiv.org\/abs\/math\/0203100\">Orbifolds as groupoids<\/a> \u00a71-3<\/em><\/li>\n\n\n\n<li><a href=\"https:\/\/www.cambridge.org\/core\/books\/orbifolds-and-stringy-topology\/677A8058E1D88669C8EE85FF2442CFCD\"><em>Orbifolds and Stringy Topology<\/em><\/a>, Chapter 1<br><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Meeting 2: orbibundles, orbisections and a bit of orbifold cohomology\n<ul class=\"wp-block-list\">\n<li><em><a href=\"https:\/\/arxiv.org\/abs\/math\/0203100\">Orbifolds as groupoids<\/a> \u00a74-6<\/em><\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/1308.5764\"><em>On orbifold<\/em> <em>embeddings<\/em><\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/personal.math.ubc.ca\/~behrend\/CohSta-1.pdf\"><em>Cohomology of stacks<\/em><\/a><br><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Meeting 3 (8.1.):&nbsp;moduli spaces of stable curves and their orbifold structures\n<ul class=\"wp-block-list\">\n<li><em> <a href=\"https:\/\/arxiv.org\/abs\/math\/0407090\">A construction of the Deligne-Mumford orbifold<\/a><\/em><\/li>\n\n\n\n<li><em> <a href=\"https:\/\/link.springer.com\/book\/10.1007\/978-3-540-69392-5\">Geometry of algebraic curves Volume II<\/a><\/em>, \u00a7XI.3-5, \u00a7XII.4,10<\/li>\n\n\n\n<li> <em><a href=\"https:\/\/link.springer.com\/book\/10.1007\/b98867\">Moduli of curves<\/a><\/em> <br><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Meeting 4 (17.1.):  i) global Kuranishi charts and vfc<br> ii) discussion of toy cases (<em>come up with your<\/em> <em>favourite example beforehand<\/em>)\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/arxiv.org\/abs\/2110.14320\"><em>Complex cobordism, Hamiltonian loops and global Kuranishi charts<\/em><\/a>, \u00a74.1 and 5.1<\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/2312.03625\"><em>Properties of Gromov-Witten invariants defined via global Kuranishi charts<\/em><\/a>, \u00a7A<br><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Meeting 5 (14.2.): discussion of the topic of last meeting and of examples<br><\/li>\n\n\n\n<li>Meeting 6 (28.2.) global Kuranishi charts for moduli spaces of stable pseudoholomorphic maps\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/arxiv.org\/abs\/2110.14320\"><em>Complex cobordism, Hamiltonian loops and global Kuranishi charts<\/em><\/a>, \u00a76<\/li>\n\n\n\n<li><a href=\"https:\/\/arxiv.org\/abs\/2307.01883\"><em>Gromov-Witten invariants in complex-oriented generalised cohomology theories<\/em><\/a><\/li>\n\n\n\n<li><em><a href=\"https:\/\/arxiv.org\/abs\/2212.11797\">Global Kuranishi charts and a product formula in symplectic GW theory<\/a><\/em><br>           <\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Week of the 11th of March: Minicourse by <strong>Shaoyun Bai<\/strong>  on global Kuranishi charts for Hamiltonian Floer theory\n<ul class=\"wp-block-list\">\n<li><em><a href=\"https:\/\/arxiv.org\/pdf\/2209.08599.pdf\">Arnol&#8217;d conjecture over the integers<\/a><\/em><br>              <em>                     <\/em><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Meeting 8 (27.3.) same topic as meeting 7<br><\/li>\n\n\n\n<li>Meeting 9 (3.4.) talk by <strong>Russell Avdek<\/strong> on the semi-global Kuranishi charts of Bao-Honda<br><\/li>\n\n\n\n<li>Meeting 10 (19.4.) parametrised and equivariant global Kuranishi charts\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/arxiv.org\/abs\/2312.03625\"><em>Properties of Gromov-Witten invariants defined via global Kuranishi charts<\/em><\/a>, \u00a75<br><br><br> <em>                     <\/em><br><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>This is the schedule of second part of the Exchange seminar, organised together with Yuan Yao. The website of the first part can be found here. Aim: Learn about virtual fundamental classes and global Kuranishi charts and their applicationsFormat: We read (some of) the references beforehand and then discuss. The meetings are hybrid. (Write me [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-213","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/amandahirschi.com\/index.php?rest_route=\/wp\/v2\/pages\/213","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/amandahirschi.com\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/amandahirschi.com\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/amandahirschi.com\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/amandahirschi.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=213"}],"version-history":[{"count":53,"href":"https:\/\/amandahirschi.com\/index.php?rest_route=\/wp\/v2\/pages\/213\/revisions"}],"predecessor-version":[{"id":613,"href":"https:\/\/amandahirschi.com\/index.php?rest_route=\/wp\/v2\/pages\/213\/revisions\/613"}],"wp:attachment":[{"href":"https:\/\/amandahirschi.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=213"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}