{"id":508,"date":"2016-05-27T16:09:36","date_gmt":"2016-05-27T13:09:36","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=508"},"modified":"2016-06-02T08:59:36","modified_gmt":"2016-06-02T05:59:36","slug":"colloquium-tuesday-may-31-2-pm-speaker-dmitry-gourevitch-weizmann-title-d-modules-and-equivariant-distributions-old-and-new","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=508","title":{"rendered":"Colloquium: Tuesday, May 31, 2 pm. Speaker: Dmitry Gourevitch (Weizmann). Title: &#8220;D-modules and equivariant distributions &#8211; old and new&#8221;."},"content":{"rendered":"<p>I will first recall the notions of Schwartz functions and tempered distributions &#8211; on the line and then on general real affine algebraic manifolds.<\/p>\n<p>Then I will pose a problem on the existence of distributions that are semi-invariant under a group action.<\/p>\n<p>Next I will recall some notions in the theory of D-modules, i.e. modules over the algebra of polynomial differential operators, and indicate a classical solution to this problem, due to Bernstein and Saito.<\/p>\n<p>Then I will present a generalization of this solution, due to Sahi, Sayag and myself.<\/p>\n<p>Finally, I will explain the relation of this problem to relative representation theory or real reductive groups.<\/p>\n<p>If time permits, we will discuss also how to bound the dimension of the space of semi-invariant distributions using D-modules.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I will first recall the notions of Schwartz functions and tempered distributions &#8211; on the line and then on general real affine algebraic manifolds. Then I will pose a problem on the existence of distributions that are semi-invariant under a&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=508\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[7],"tags":[],"class_list":["post-508","post","type-post","status-publish","format-standard","hentry","category-colloquium"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/508","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=508"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/508\/revisions"}],"predecessor-version":[{"id":509,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/508\/revisions\/509"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=508"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=508"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=508"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}