MIT Number Theory Seminar

Tuesday, February 27, 2024 at 4:00pm to 5:00pm

Building 2, 449
182 MEMORIAL DR, Cambridge, MA 02139

Speaker: Ulrich Derenthal (Leibniz Universität Hannover)

Title: Manin's conjecture for spherical Fano threefolds


When an algebraic variety over the rational numbers contains infinitely many rational points, we may study their distribution. In particular, for Fano varieties, the asymptotic behavior of the number of rational points of bounded height is predicted by Manin's conjecture.

In this talk, we discuss a proof of Manin's conjecture for smooth spherical Fano threefolds. In one case, in order to obtain the expected asymptotic formula, it is necessary to exclude a thin subset with exceptionally many rational points from the count. This is joint work with V. Blomer, J. Brüdern and G. Gagliardi.


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mathematics, MIT, Number Theory Seminar


Department of Mathematics
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