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SUMMARY:Ulrich Derenthal (Leibniz Universität Hannover)
DTSTART:20240227T210000Z
DTEND:20240227T220000Z
DTSTAMP:20260423T125923Z
UID:MITNT/87
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITNT/87/">M
 anin's conjecture for spherical Fano threefolds</a>\nby Ulrich Derenthal (
 Leibniz Universität Hannover) as part of MIT number theory seminar\n\nLec
 ture held in Room 2-449 in the Simons Building (building 2).\n\nAbstract\n
 When an algebraic variety over the rational numbers contains infinitely ma
 ny 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.\n\nIn this talk\, we
  discuss a proof of Manin's conjecture for smooth spherical Fano threefold
 s. In one case\, in order to obtain the expected asymptotic formula\, it i
 s necessary to exclude a thin subset with exceptionally many rational poin
 ts from the count. This is joint work with V. Blomer\, J. Brüdern and G. 
 Gagliardi.\n
LOCATION:https://researchseminars.org/talk/MITNT/87/
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