Geometric Manin's Conjecture for Fano Threefolds [1]

Accesso all'aula virtuale webex : qui [2]

Abstract: Geometric Manin’s Conjecture (GMC) translates Batyrev’s heuristic for Manin’s Conjecture to statements about free rational curves on Fano varieties.  In this talk, I will first review this translation and motivate the framework of GMC with concrete examples.  I will then describe a recent proof of GMC for smooth Fano threefolds over the complex numbers by appealing to relationships between this framework and the Mori structures of Fano threefolds.