BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Amir Ghadermarzi (University of Tehran) DTSTART:20211221T140000Z DTEND:20211221T160000Z DTSTAMP:20260422T102332Z UID:FGC-IPM/7 DESCRIPTION:Title: Integral points on Mordell curves of rank 1\nby Amir Ghadermarzi (Univ ersity of Tehran) as part of FGC-HRI-IPM Number Theory Webinars\n\n\nAbstr act\nA well-known theorem of Siegel states that any elliptic curve $E/\\ma thbb{Q}$ has only finitely many integral points. Lang conjectured that the number of integral points on a quasi-minimal model of an elliptic curve s hould be bounded solely in terms of the rank of the group of rational poin ts. Silverman proved Lang's conjecture for the curves with at most a fixed number of primes dividing the denominator of the $j$-invariant. Using mor e explicit methods\, Silverman and Gross compute the dependence of the bou nds on the various constants. In the case of curves of rank 1\, techniques of Ingram on multiples of integral points enable one to prove much better bounds for special families of elliptic curves. In this talk\, we investi gate the integral points on Mordell curves of rank 1.\n\nMeeting ID: 908 6 11 6889\, \nPasscode: the order of the symmetric group on 9 letters (Type the 6-digit number).\n LOCATION:https://researchseminars.org/talk/FGC-IPM/7/ END:VEVENT END:VCALENDAR