[geometry-ml:02703] MS seminar at Kavli IPMU -- Sho Tanimoto -- Jul 26 (Tu), 2016

[Todor Milanov]

Dear all,

I would like to announce the following Mathematics and String theory seminar at Kavli IPMU.

Speaker:	Sho Tanimoto	(U Copenhagen)
Date:	Tue, Jul 26, 2016, 15:30 - 17:00
Place:	Seminar Room B


Title:	On the geometry of thin exceptional sets in Manin's conjecture

Abstract:	Manin's conjecture predicts an asymptotic formula for the counting function of the number of rational points on a Fano variety, and it has an explicit asymptotic formula in terms of geometric invariants of the underlying variety. The original conjecture, which predicts an asymptotic formula after removing a closed exceptional set, is wrong due to covering families of subvarieties violating the compatibility of Manin's conjecture, and its refinement suggested by Peyre removes a thin set instead of a closed set. In this talk, I will discuss that subvarieties violating the compatibility of Manin's conjecture only forms a thin set using the minimal model program and the boundedness of log Fano varieties. Then I will discuss our conjecture on the birational finiteness of generically finite covers violating the compatibility of Manin's conjecture. This is joint work with Brian Lehmann.

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Todor Eliseev Milanov
Associate Professor 
Kavli IPMU,  Japan

todor.milanov ＠ ipmu.jp