Title: Hyperbolicity of hypersurfaces in projective space
Speaker: Eric Riedl (Notre Dame)
Abstract: We discuss several related notions of hyperbolicity of projective varieties, focusing particularly on algebraic hyperbolicity and Brody hyperbolicity. We discuss what is known about these notions for very general hypersurfaces in projective space. In joint work with Coskun, we prove that quintic hypersurfaces in $P^3$ are algebraically hyperbolic, finally settling the last case of a conjecture of Demailly. In joint work with David Yang, we show that (a slightly stronger version of) the Green-Griffiths-Lang Conjecture implies the Kobayashi Conjecture. This substantially simplifies the proof of the Kobayashi Conjecture and has led to improved degree bounds.
Seminar URL: https://research.math.osu.edu/agseminar/
