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Responsabili:

Federica Galluzzi  ed  Elena Martinengo
 

Nel calendario si indicano i seminari di geometria algebrica e altre attività di interesse, organizzate dall'Università e dal Politecnico di Torino.

Geometric Manin's Conjecture for Fano Threefolds

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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

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.