{"id":169,"date":"2010-11-29T21:39:45","date_gmt":"2010-11-29T21:39:45","guid":{"rendered":"http:\/\/blogs.truman.edu\/mathcs\/?p=169"},"modified":"2010-11-29T21:39:45","modified_gmt":"2010-11-29T21:39:45","slug":"math-colloquium","status":"publish","type":"post","link":"https:\/\/blogs.truman.edu\/mathcs\/2010\/11\/29\/math-colloquium\/","title":{"rendered":"Math Colloquium"},"content":{"rendered":"<p>The last Math Colloquium of the semester will be <strong>Tuesday, November 30<\/strong> at <strong>3:30 p.m. in VH1228<\/strong>.\u00a0 <strong>Calin Chindris<\/strong> of the University of Missouri will be speaking on <strong>Eigenvalues of Sums of Hermitian Matrices<\/strong>.\u00a0 After the talk he will be able to answer questions on graduate study at Mizzou.\u00a0 As usual, refreshments will be provided.<\/p>\n<p>ABSTRACT<\/p>\n<p>In 1912, H. Weyl asked for a description of the eigenvalues of a sum of two<br \/>\nHermitian matrices in terms of the eigenvalues of the summands. In 1962, A. Horn recursively constructed a list of inequalities for the eigenvalues of two<br \/>\nHermitian matrices and their sum, which he conjectured to be necessary and sufficient. In 2000, Horn&#8217;s conjecture was finally proved. In this talk, I will describe the Horn&#8217;s eigenvalue inequalities, and explain how the Weyl&#8217;s eigenvalue problem relates to other problems, including the<br \/>\nexistence of short exact sequences of finite abelian p-groups and the non-vanishing of the Littlewood-Richardson coefficients.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The last Math Colloquium of the semester will be Tuesday, November 30 at 3:30 p.m. in VH1228.\u00a0 Calin Chindris of the University of Missouri will be speaking on Eigenvalues of Sums of Hermitian Matrices.\u00a0 After the talk he will be able to answer questions on graduate study at Mizzou.\u00a0 As usual, refreshments will be provided. [&hellip;]<\/p>\n","protected":false},"author":188,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[1],"tags":[],"class_list":["post-169","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"acf":[],"_links":{"self":[{"href":"https:\/\/blogs.truman.edu\/mathcs\/wp-json\/wp\/v2\/posts\/169","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.truman.edu\/mathcs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.truman.edu\/mathcs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.truman.edu\/mathcs\/wp-json\/wp\/v2\/users\/188"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.truman.edu\/mathcs\/wp-json\/wp\/v2\/comments?post=169"}],"version-history":[{"count":1,"href":"https:\/\/blogs.truman.edu\/mathcs\/wp-json\/wp\/v2\/posts\/169\/revisions"}],"predecessor-version":[{"id":170,"href":"https:\/\/blogs.truman.edu\/mathcs\/wp-json\/wp\/v2\/posts\/169\/revisions\/170"}],"wp:attachment":[{"href":"https:\/\/blogs.truman.edu\/mathcs\/wp-json\/wp\/v2\/media?parent=169"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.truman.edu\/mathcs\/wp-json\/wp\/v2\/categories?post=169"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.truman.edu\/mathcs\/wp-json\/wp\/v2\/tags?post=169"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}