{"id":1966,"date":"2022-04-29T09:54:42","date_gmt":"2022-04-29T07:54:42","guid":{"rendered":"https:\/\/www.dm.unipi.it\/eventi\/levi-restriction-for-coulomb-branch-algebras-and-categorical-mathfrakg-actions-for-truncated-shifted-yangians-joel-kamnitzer-university-of-toronto-canada\/"},"modified":"2022-04-29T10:02:00","modified_gmt":"2022-04-29T08:02:00","slug":"levi-restriction-for-coulomb-branch-algebras-and-categorical-mathfrakg-actions-for-truncated-shifted-yangians-joel-kamnitzer-university-of-toronto-canada","status":"publish","type":"unipievents","link":"https:\/\/www.dm.unipi.it\/en\/eventi\/levi-restriction-for-coulomb-branch-algebras-and-categorical-mathfrakg-actions-for-truncated-shifted-yangians-joel-kamnitzer-university-of-toronto-canada\/","title":{"rendered":"Levi restriction for Coulomb branch algebras and categorical $\\mathfrak{g}$-actions for truncated shifted Yangians &#8211; Joel Kamnitzer (University of Toronto, Canada)"},"content":{"rendered":"<h4 class='mt-4'>Abstract<\/h4>\n<p>\u200bGiven a representation $V$&nbsp;of a reductive group&nbsp;$G$, Braverman-Finkelberg-Nakajima defined a Poisson variety called the Coulomb branch, using a convolution algebra construction.&nbsp; This variety comes with a natural deformation quantization, called a Coulomb branch algebra.&nbsp; Important cases of these Coulomb branches are (generalized) affine Grassmannian slices, and their quantizations are truncated shifted Yangians.&nbsp; Motivated by the geometric Satake correspondence, we define a categorical&nbsp;$\\mathfrak{g}$-action on modules for these truncated shifted Yangians.&nbsp; Our main tool is the study of how the Coulomb branch algebra changes when we pass from&nbsp;$G$,&nbsp;$V$ to&nbsp;$L$,&nbsp;$U$, where&nbsp;$L$ is a Levi in $G$ and&nbsp;$U$ is the invariants for a coweight defining&nbsp;$L$.<\/p>\n<p>Click&nbsp;<a href=\"https:\/\/salafrancesco.weebly.com\/uploads\/8\/3\/1\/9\/83195312\/pisa-coulombbranches.pdf\" target=\"_blank\" rel=\"noopener\">here<\/a>&nbsp;for the slides of the talk and&nbsp;<a href=\"https:\/\/www.youtube.com\/watch?v=Au22AeeRtR8&amp;t=\" target=\"_blank\" rel=\"noopener\">here<\/a>&nbsp;to see the video of the talk.<\/p>\n<p class='mt-4'>Further information is available on the <a href=\"https:\/\/events.dm.unipi.it\/event\/22\/\">event page<\/a> on the Indico platform.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u200bGiven a representation $V$\u00a0of a reductive group\u00a0$G$, Braverman-Finkelberg-Nakajima defined a Poisson variety called the Coulomb branch, using a convolution algebra construction.\u00a0 This variety comes with a natural deformation quantization, called a&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/en\/eventi\/levi-restriction-for-coulomb-branch-algebras-and-categorical-mathfrakg-actions-for-truncated-shifted-yangians-joel-kamnitzer-university-of-toronto-canada\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":6,"featured_media":0,"template":"","tags":[],"unipievents_taxonomy":[],"class_list":["post-1966","unipievents","type-unipievents","status-publish","hentry"],"acf":[],"unipievents_startdate":1589817600,"unipievents_enddate":1589821200,"unipievents_place":"","unipievents_externalid":22,"jetpack_sharing_enabled":true,"publishpress_future_workflow_manual_trigger":{"enabledWorkflows":[]},"_links":{"self":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/1966","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents"}],"about":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/types\/unipievents"}],"author":[{"embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/users\/6"}],"version-history":[{"count":1,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/1966\/revisions"}],"predecessor-version":[{"id":1983,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents\/1966\/revisions\/1983"}],"wp:attachment":[{"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/media?parent=1966"}],"wp:term":[{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/tags?post=1966"},{"taxonomy":"unipievents_taxonomy","embeddable":true,"href":"https:\/\/www.dm.unipi.it\/en\/wp-json\/wp\/v2\/unipievents_taxonomy?post=1966"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}