Geometric Manin's Conjecture for Fano Threefolds [1]
Data:
19/12/2022 - 15:30
Aula:
Aula virtuale Webex
Speaker:
Eric Jovinelly
Categoria:
Seminari di Algebra e Geometria Algebrica
Afferenza:
University of Notre Dame
Descrizione:
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.