BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Roberto Villaflor (IMPA) DTSTART:20200805T183000Z DTEND:20200805T200000Z DTSTAMP:20260423T021704Z UID:BRAG/17 DESCRIPTION:Title: Co nstructing algebraic cycles on hypersurfaces\, an explicit approach to Hod ge conjecture\nby Roberto Villaflor (IMPA) as part of Brazilian algebr aic geometry seminar\n\n\nAbstract\nHodge conjecture is one of the major c onjectures in algebraic geometry. In all the cases where Hodge conjecture has been verified\, no constructive proof has been given up to the date. I n other words there is no hint about how to construct an algebraic cycle f rom a given Hodge cycle. In this talk we will consider this problem in the case of hypersurfaces of the projective space. We will explain how this q uestion becomes more treatable when the Hodge cycle is given in a good eno ugh format in terms of Griffiths basis. Reducing the problem to constructi ng these nice representatives of Hodge cycles. We will see some examples w here this approach works and highlight the difficulties that appear in the general case.\n LOCATION:https://researchseminars.org/talk/BRAG/17/ END:VEVENT END:VCALENDAR