BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Michele Fornea (Columbia) DTSTART:20200918T143000Z DTEND:20200918T160000Z DTSTAMP:20260423T004038Z UID:CAFAS/2 DESCRIPTION:Title: Po ints on elliptic curves via p-adic integration\nby Michele Fornea (Col umbia) as part of Columbia Automorphic Forms and Arithmetic Seminar\n\n\nA bstract\nThe work of Bertolini\, Darmon and their schools has shown that p -adic multiplicative integrals can be successfully employed to study the g lobal arithmetic of elliptic curves. Notably\, Guitart\, Masdeu and Sengun have recently constructed and numerically computed Stark-Heegner points i n great generality. Their results strongly support the expectation that St ark-Heegner points completely control the Mordell-Weil group of elliptic c urves of rank 1.\n\nIn our talk\, we will report on work in progress about a conjectural construction of global points on modular elliptic curves\, generalizing the p-adic construction of Heegner points via Cerednik-Drinfe ld uniformization. Inspired by Nekovar and Scholl's plectic conjectures\, we expect the non-triviality of these plectic Heegner points to control th e Morderll-Weil group of higher rank elliptic curves. We provide some evid ence for our conjectures by showing that higher derivatives of anticycloto mic p-adic L-functions compute plectic Heegner points.\n LOCATION:https://researchseminars.org/talk/CAFAS/2/ END:VEVENT END:VCALENDAR