BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jonathan Love (Stanford University) DTSTART:20210204T190000Z DTEND:20210204T203000Z DTSTAMP:20260423T004640Z UID:NumTheory/7 DESCRIPTION:Title: Explicit Rational Equivalences of Points on Surfaces\nby Jonathan Lo ve (Stanford University) as part of CRM-CICMA Québec Vermont Seminar Seri es\n\nLecture held in En ligne/Web.\n\nAbstract\nThe Chow group of zero-cy cles on a smooth projective surface X is obtained by taking the free abeli an group generated by closed points on X\, and declaring two elements (“ zero-cycles”) to be equal if their difference is a sum of divisors of ra tional functions on curves in X\; in this setting we say the zero-cycles a re “rationally equivalent.” These Chow groups are notoriously difficul t to compute\; while a set of conjectures due to Bloch and Beilinson predi ct certain relations must hold in these groups when X is defined over a nu mber field\, there are very few non-trivial cases in which these relations have been proven to hold. In this talk\, I will discuss several technique s that can be used to compute rational equivalences exhibiting some of the expected relations\, in the case that X is a product of two elliptic curv es over Q.\n LOCATION:https://researchseminars.org/talk/NumTheory/7/ END:VEVENT END:VCALENDAR