{"id":12538,"date":"2022-02-17T10:02:52","date_gmt":"2022-02-17T02:02:52","guid":{"rendered":"https:\/\/cantor.math.ntnu.edu.tw\/?p=12538"},"modified":"2022-02-17T10:16:22","modified_gmt":"2022-02-17T02:16:22","slug":"001-51","status":"publish","type":"post","link":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/2022\/02\/17\/001-51\/","title":{"rendered":"<span style=\"color:#3566BD\">[\u6578\u8ad6\u7814\u8a0e\u6703] <\/span>\u30102\u670825\u65e5\u3011Filtration methods in Diophatine Approximation \u738b\u59ff\u6708\u6559\u6388"},"content":{"rendered":"<p>Speaker\uff1a\u738b\u59ff\u6708\u6559\u6388<br \/>\nJob title\uff1a\u4e2d\u592e\u7814\u7a76\u9662\u6578\u5b78\u6240<br \/>\nTitle : Filtration methods in Diophatine Approximation<br \/>\nAbstract\uff1aSchmidt&#8217;s Subspace Theorem has been a key tool in Diophatine approximation since its appearance in the early1970s.\u00a0 In 1994 Faltings and W\\&#8221;ustholz introduced a new geometric method of applying the Subspace Theorem, called the filtration method, which involves working with &#8220;many&#8221; sections of a line bundle and producing many linear combinations of them vanishing along appropriate divisors.\u00a0 This was further developed by Evertse and Ferretti.\u00a0 Independently, Corvaja and Zannier also worked with filtrations of the same kind, which was\u00a0further refined and developed by Levin and Autissier, etc.\u00a0 Recently, Ru and Vojta formulated a general version of the Subspace<br \/>\nTheorem that unifying many known results with filtration methods.\u00a0We will introduce these developments in this talk.<\/p>\n<p>Time: 1:30 p.m., Feb. 25 (Fri.), 2022<br \/>\nPlace: Room 210, Department of Mathematics, NTNU<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Speaker\uff1a\u738b\u59ff\u6708\u6559\u6388 Job title\uff1a\u4e2d\u592e\u7814\u7a76\u9662\u6578\u5b78\u6240 Title : Filtration met 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