Manin's conjecture for certain spherical threefolds

Seminar
Speaker
Dr. Giuliano Gagliardi (Tel Aviv University)
Date
17/01/2018 - 11:30 - 10:30Add to Calendar 2018-01-17 10:30:00 2018-01-17 11:30:00 Manin's conjecture for certain spherical threefolds We study rational points on two families of hypersurfaces in toric varieties which are spherical threefolds when equipped with a suitable action of the reductive group SL_2 x G_m. We are interested in the asymptotic behavior of the number of rational points of bounded height, which is predicted by a conjecture of Manin, refined by Batyrev, Tschinkel, and Peyre. This is joint work with Ulrich Derenthal. Third floor seminar room אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
Third floor seminar room
Abstract

We study rational points on two families of hypersurfaces in toric
varieties which are spherical threefolds when equipped with a suitable
action of the reductive group SL_2 x G_m. We are interested in the
asymptotic behavior of the number of rational points of bounded height,
which is predicted by a conjecture of Manin, refined by Batyrev,
Tschinkel, and Peyre. This is joint work with Ulrich Derenthal.

Last Updated Date : 23/12/2017