Gergely Bérczi will speak on

Non-reductive geometric invariant theory and hyperbolicity

Abstract: Using intersection theory for non-reductive geometric invariant theoretic quotients and work of Riedl and Yang we recently completed a proof of the Green--Griffiths--Lang and Kobayashi hyperbolicity conjectures for generic hypersurfaces of polynomial degree. We explain elements of the proof. Joint work with F. Kirwan.