{"id":2493,"date":"2022-11-06T21:15:41","date_gmt":"2022-11-06T19:15:41","guid":{"rendered":"https:\/\/mathematics.haifa.ac.il\/?p=2493"},"modified":"2022-11-13T09:35:59","modified_gmt":"2022-11-13T07:35:59","slug":"u-haifa-algebra-seminar-tuesday-november-8-2022-speaker-alexei-piskunov-technion-title-motivic-zeta-function-for-surfaces-and-severi-brauer-varieties","status":"publish","type":"post","link":"https:\/\/mathematics.haifa.ac.il\/?p=2493","title":{"rendered":"U. Haifa Algebra seminar: Tuesday,\u00a0November 8, 2022. Speaker: Alexei Piskunov (Technion). Title: &#8220;Motivic zeta-function for surfaces and Severi-Brauer varieties&#8221;."},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Date: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Tuesday,&nbsp;November 8, 2022 at 12:00 PM&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Place:&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Room 614, Science &amp; Education Building, U. Haifa<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Speaker:&nbsp; &nbsp; Alexei Piskunov&nbsp;&nbsp; (Technion)<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Title: &#8220;Motivic zeta-function for surfaces and Severi-Brauer varieties&#8221;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Abstract:<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Motivic zeta-function Z_X(t) of an algebraic variety X is a certain universal generalization of the Hasse-Weil zeta function,<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Euler characteristics and other invariants of algebraic varieties.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">I will briefly remind the definition and its basic properties, and then prove that&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">the rationality&nbsp;of the motivic zeta-function is a birational invariant&nbsp;for surfaces in characteristic&nbsp;zero.&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">I will also prove some theorems on motivic zeta-function of Severi-Brauer varieties&nbsp;<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">and compute it in the case of a Cartesian power of a smooth conic.&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Date: &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Tuesday,&nbsp;November 8, 2022 at 12:00 PM&nbsp; Place:&nbsp;&nbsp; &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Room 614, Science &amp; Education Building, U. Haifa Speaker:&nbsp; &nbsp; Alexei Piskunov&nbsp;&nbsp; (Technion) Title: &#8220;Motivic zeta-function for surfaces and Severi-Brauer varieties&#8221; Abstract: Motivic zeta-function Z_X(t) of an algebraic variety X is&#8230;<br \/><a class=\"read-more-button\" href=\"https:\/\/mathematics.haifa.ac.il\/?p=2493\">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":[5,4],"tags":[],"class_list":["post-2493","post","type-post","status-publish","format-standard","hentry","category-algebra-seminar","category-seminar"],"_links":{"self":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2493","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=2493"}],"version-history":[{"count":2,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2493\/revisions"}],"predecessor-version":[{"id":2501,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=\/wp\/v2\/posts\/2493\/revisions\/2501"}],"wp:attachment":[{"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2493"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2493"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.haifa.ac.il\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2493"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}