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DTSTART;TZID="UTC+0":20210216T163000
DTEND;TZID="UTC+0":20210216T173000
DTSTAMP:20210413T001646
CREATED:20210126T052441
LAST-MODIFIED:20210126T052441
UID:18555-1613473200-1613476800@www.ashoka.edu.in
SUMMARY:Mathematics Colloquium | Jishnu Ray
DESCRIPTION:\n\nSpeaker: Jishnu Ray\nPostdoctoral Researcher at CRM\, Université de Montréal\n\n\n\n\n\n\n\n\nTitle: Selmer groups of elliptic curves and Iwasawa algebras\n\n\n\n\n\n\n\n\n\n\n\nAbstract: The Selmer group of an elliptic curve over a number field encodes several arithmetic data of the curve providing a p-adic approach to the Birch and Swinnerton Dyer\, connecting it with the p-adic L-function via the Iwasawa main conjecture. Under suitable extensions of the number field\, the dual Selmer group becomes a module over the Iwasawa algebra of a certain compact p-adic Lie group over Z_p (the ring of p-adic integers)\, which is a completed group algebra.\nIn this talk\, we give an explicit ring-theoretic presentation\, by generators and relations\, of Iwasawa algebras and explore the structure of Selmer groups over non-commutative Lie extensions.\n
URL:https://www.ashoka.edu.in/events/event/mathematics-colloquium-jishnu-ray/
LOCATION:India
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