Matthias Paulsen: The degree of algebraic cycles on hypersurfaces
Tid: To 2021-09-16 kl 14.00 - 15.00
Plats: Institut Mittag-Leffler, Seminar Hall Kuskvillan (alt. Zoom, meeting ID: 921 756 1880)
Medverkande: Matthias Paulsen (Mittag-Leffler)
Abstract: Let X be a very general hypersurface of dimension 3 and degree d at least 6. Griffiths and Harris conjectured in 1985 that the degree of every curve on X is divisible by d. Substantial progress on this conjecture was made by Kollár in 1991 via degeneration arguments. However, the conjecture of Griffiths and Harris remained open in any degree d. In this talk, I will explain how to prove this conjecture (and its higher-dimensional analogues) for infinitely many degrees d.