{"id":977,"date":"2017-12-14T16:43:57","date_gmt":"2017-12-14T14:43:57","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=977"},"modified":"2017-12-19T22:26:22","modified_gmt":"2017-12-19T20:26:22","slug":"colloquium-monday-december-18-4-pm-speaker-avner-segal-ubc-title-l-functions-and-the-failure-of-the-local-global-principle-for-g_2","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=977","title":{"rendered":"Colloquium: Monday, December 18, 4 pm. Speaker: Avner Segal (UBC). Title: &#8220;L-functions and the Failure of the Local-Global Principle for G_2&#8221;."},"content":{"rendered":"<p>A common question in mathematics is &#8220;Can global questions be answered by local means?&#8221;, this is usually referred to as the &#8220;local-global principle&#8221;. A famous example is the Hasse-Minkowski theorem on quadratic forms. On the other and, it is also known that the Hasse-Minkowski theorem cannot be extended to cubic forms. In this talk, I will present the local-global principle for automorphic represntations, describe its success in the cuspidal spectrum of the group GL_n and its failure in the cuspidal spectrum of the exceptional group of type G_2.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>A common question in mathematics is &#8220;Can global questions be answered by local means?&#8221;, this is usually referred to as the &#8220;local-global principle&#8221;. A famous example is the Hasse-Minkowski theorem on quadratic forms. On the other and, it is also&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=977\">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-977","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\/977","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=977"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/977\/revisions"}],"predecessor-version":[{"id":978,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/977\/revisions\/978"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=977"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=977"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=977"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}