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Variétés rationnelles

Horaires : Le vendredi 11 décembre 2015, 16h30-17h30

Lieu : ENS, salle W

A geometric approach to a refinement of Manin's conjecture

Sho Tanimoto (Copenhague)

Manin's conjecture is a conjectural asymptotic formula for the counting function of rational points of bounded height on Fano varieties, however the conjecture admits many counterexamples due to covering families of subvarieties violating compatibility of Manin's conjecture. In this talk, I will explain how one can use the minimal model program and the boundedness of log Fano varieties to prove a sort of finiteness of such families. This is joint work with Brian Lehmann and Yuri Tschinkel.


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