BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Bidisha Roy (IMPAN\, Warsaw) DTSTART:20201221T121500Z DTEND:20201221T131500Z DTSTAMP:20260423T023053Z UID:WarsawNT/17 DESCRIPTION:Title: Torsion groups of elliptic curves over number fields\nby Bidisha Roy (IMPAN\, Warsaw) as part of Warsaw Number Theory Seminar\n\nLecture held in currently online.\n\nAbstract\nComputing torsion groups of elliptic cur ves defined over number fields is a classical topic and it has a vast lite rature in algebraic number theory. Any elliptic curve of the form y^2 = x^ 3 + c is called a Mordell curve. Mordell curves are well studied elliptic curves with complex multiplication.\n\nIn this talk\, for Mordell curves defined over the field of rational numbers we will discuss the classificat ion of torsion groups over cubic and sextic fields. Also\, we present the classification of torsion groups of Mordell curves defined over cubic fiel ds. For Mordell curves over sextic fields\, we provide all possible torsio n groups. In the second part\, we briefly discuss torsion groups of Mordel l curves over higher degree number fields.\n LOCATION:https://researchseminars.org/talk/WarsawNT/17/ END:VEVENT END:VCALENDAR