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DTSTAMP:20250702T233650Z
DESCRIPTION:Colloque des sciences mathématiques du Québec\n\n\n	\n		\n			\n				TITLE
 \n					p-adic methods for solving Diophantine equations\n					\n					ABSTRACT\n\n				The prob
 lem of finding rational or integer solutions to polynomial equations is on
 e of the oldest problems in mathematics and is one of the key driving forc
 es in the development of Number Theory. In the last 15 years new methods w
 ere developed that can sometimes effectively solve this problem. These met
 hods attempt to find the solutions inside the larger set of solutions of t
 he same equation in the field of p-adic numbers as the vanishing set of so
 me computable function. When these methods work they give the rational sol
 utions to arbitrarily large p-adic precision\, which usually suffices to r
 igorously recover the full set of solutions. I will survey the new methods
 \, originating from the work of Kim and from the more recent work of Lawre
 nce and Venkatesh. I will then explain my work with Muller and Srinivasan 
 that uses a p-adic version of the notion of norms on line bundles and asso
 ciated heights\, as used for example in arithmetic dynamics\, to give a ne
 w approach to some Kim type results.\n\n				\n					PLACE\n					Université Concordia\, Li
 brary Building\, 9th floor\, room LB 921-4\n					\n					ZOOM \n					https://us06web.zoom.
 us/j/84226701306?pwd=UEZ5NVpZaUlldW5qNU8vZzIvbEJXQT09\n					ID : 842 2670 1306 
 / CODE : 692788\n					\n					ORGANIZERS\n					Erica Moodie (9IÖÆ×÷³§Ãâ·Ñ)\n					Giovanni 
 Rosso (Concordia University)\n					Alina Stancu (Concordia University)\n					Hugh R.
  Thomas (Université du Québec à Montréal)\n					Guy Wolf (Université de Montréa
 l)\n			\n		\n	\n\n
DTSTART:20221202T203000Z
DTEND:20221202T213000Z
SUMMARY:Amnon Besser (Ben Gurion University)
URL:/mathstat/channels/event/amnon-besser-ben-gurion-u
 niversity-343919
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