{"id":199,"date":"2017-11-29T11:38:09","date_gmt":"2017-11-29T11:38:09","guid":{"rendered":"http:\/\/blogs.kent.ac.uk\/pgrseminars\/?p=199"},"modified":"2018-08-14T13:17:58","modified_gmt":"2018-08-14T12:17:58","slug":"1-december-joe-pallister-this-kent-man-earned-using-cluster-algebras","status":"publish","type":"post","link":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/2017\/11\/29\/1-december-joe-pallister-this-kent-man-earned-using-cluster-algebras\/","title":{"rendered":"1 December ~ Joe Pallister &#8220;This Kent man earned \u00a3\u00a3\u00a3 using Cluster Algebras&#8221;"},"content":{"rendered":"<p><span style=\"font-family: Garamond\"><i>Assem, Reutenauer and Smith (almost) proved that recurrences from cluster mutations of quivers satisfy linear relations if<\/i><\/span><br \/>\n<span style=\"font-family: Garamond\"><i>and only if the underlying quiver is Dynkin or Euclidean. This proof was completed, using different techniques, by Keller<\/i><\/span><br \/>\n<span style=\"font-family: Garamond\"><i>and Scherotzke. I&#8217;ll discuss these and my approach to the affine D type.\u200b<\/i><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Assem, Reutenauer and Smith (almost) proved that recurrences from cluster mutations of quivers satisfy linear relations if and only if the underlying quiver is Dynkin &hellip; <a href=\"https:\/\/blogs.kent.ac.uk\/pgrseminars\/2017\/11\/29\/1-december-joe-pallister-this-kent-man-earned-using-cluster-algebras\/\">Read&nbsp;more<\/a><\/p>\n","protected":false},"author":52945,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[170525,170524,1],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/199"}],"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\/52945"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/comments?post=199"}],"version-history":[{"count":1,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/199\/revisions"}],"predecessor-version":[{"id":200,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/posts\/199\/revisions\/200"}],"wp:attachment":[{"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/media?parent=199"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/categories?post=199"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/pgrseminars\/wp-json\/wp\/v2\/tags?post=199"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}