{"id":1079,"date":"2018-05-21T11:00:23","date_gmt":"2018-05-21T08:00:23","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=1079"},"modified":"2018-05-23T22:01:12","modified_gmt":"2018-05-23T19:01:12","slug":"colloquium-tuesday-may-22-2-pm-speaker-alexei-entin-tel-aviv-title-monodromy-of-hyperplane-sections-of-curves-and-decomposition-statistics-over-finite-fields","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=1079","title":{"rendered":"Colloquium: Tuesday, May 22, 2 pm. Speaker: Alexei Entin (Tel Aviv). Title: &#8220;Monodromy of hyperplane sections of curves and decomposition statistics over finite fields&#8221;."},"content":{"rendered":"<div dir=\"ltr\">\n<div dir=\"auto\">\n<div class=\"gmail-yj6qo gmail-ajU\">\n<div id=\"gmail-:10b\" class=\"gmail-ajR\" tabindex=\"0\">\n<div><\/div>\n<div dir=\"auto\">For a projective curve C defined over F_q we\u00a0study the statistics of the F_q-structure of a section of C by a\u00a0random hyperplane defined over F_q in the $q\\to\\infty$ limit. We\u00a0obtain a very general equidistribution result for this problem. We deduce many\u00a0old and new results about decomposition statistics over finite fields in this\u00a0limit. Our main tool will be the calculation of the monodromy of transversal\u00a0hyperplane sections of a projective curve.<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>For a projective curve C defined over F_q we\u00a0study the statistics of the F_q-structure of a section of C by a\u00a0random hyperplane defined over F_q in the $q\\to\\infty$ limit. We\u00a0obtain a very general equidistribution result for this problem. We deduce&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=1079\">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-1079","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\/1079","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=1079"}],"version-history":[{"count":1,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1079\/revisions"}],"predecessor-version":[{"id":1080,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/1079\/revisions\/1080"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1079"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1079"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1079"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}