{"id":309,"date":"2018-12-02T13:59:01","date_gmt":"2018-12-02T13:59:01","guid":{"rendered":"http:\/\/blogs.kent.ac.uk\/pgrseminars\/?p=309"},"modified":"2018-12-12T17:38:29","modified_gmt":"2018-12-12T17:38:29","slug":"14-december-christos-sarakasidis-maths","status":"publish","type":"post","link":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/2018\/12\/02\/14-december-christos-sarakasidis-maths\/","title":{"rendered":"14 December ~ Christos Sarakasidis (Maths)"},"content":{"rendered":"<p>Title:\u00a0 Hopkins-Kuhn-Ravenel Theorem (HKR), a link between representation theory and homotopy theory.<\/p>\n<p>&nbsp;<\/p>\n<p>Abstract: Let G denote an arbitrary group and L be the smallest characteristic 0 field containing all roots of unity. The space Cl(G;L) of class functions is of fundamental importance and\u00a0contains very useful representation theoretic information for G. Hopkins-Kuhn-Ravenel realised that the whole setup can be translated for certain extraordinary cohomology theories in terms of homotopy theory. In particular, in this talk we shall be focused to a certain rather well-known theory, Morava E-theory. The main idea behind this construction, as well as basic definitions will be given too. Finally the HKR theorem will be stated in terms of the aforementioned cohomology theory.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Title:\u00a0 Hopkins-Kuhn-Ravenel Theorem (HKR), a link between representation theory and homotopy theory. &nbsp; Abstract: Let G denote an arbitrary group and L be the smallest &hellip; <a href=\"https:\/\/blogs.kent.ac.uk\/pgrseminars\/2018\/12\/02\/14-december-christos-sarakasidis-maths\/\">Read&nbsp;more<\/a><\/p>\n","protected":false},"author":57430,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[170526],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/309"}],"collection":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/users\/57430"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/comments?post=309"}],"version-history":[{"count":3,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/309\/revisions"}],"predecessor-version":[{"id":315,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/309\/revisions\/315"}],"wp:attachment":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/media?parent=309"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/categories?post=309"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/tags?post=309"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}