BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Laura DeMarco (Harvard University) DTSTART:20240312T203000Z DTEND:20240312T213000Z DTSTAMP:20260423T125811Z UID:MITNT/89 DESCRIPTION:Title: F rom Manin–Mumford to dynamical rigidity\nby Laura DeMarco (Harvard U niversity) as part of MIT number theory seminar\n\nLecture held in Room 2- 449 in the Simons Building (building 2).\n\nAbstract\nIn the early 1980s\, Raynaud proved a theorem (the Manin–Mumford Conjecture) about the geome try of torsion points in abelian varieties\, using number-theoretic method s. Around the same time\, and with completely different methods\, McMulle n proved a theorem about dynamical stability for maps on $\\mathbb{P}^1$. In new work\, joint with Myrto Mavraki\, we view these results as special cases of a unifying conjecture. The conjectural statement is directly in spired by a recent theorem of Gao and Habegger (called Relative Manin–Mu mford) and results in complex dynamics of Dujardin\, Gauthier\, Vigny\, an d others.\n LOCATION:https://researchseminars.org/talk/MITNT/89/ END:VEVENT END:VCALENDAR