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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Speaker: Ulrich Derenthal (Leibniz UniversitÃ¤t Hannover)\n\nTit
le: Manin's conjecture for spherical Fano threefolds\n\nAbstract: \n\nWhen
an algebraic variety over the rational numbers contains infinitely many rat
ional points\, we may study their distribution. In particular\, for Fano va
rieties\, the asymptotic behavior of the number of rational points of bound
ed height is predicted by Manin's conjecture.\n\nIn 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. BrÃ¼dern and G. Gagliardi.
DTEND:20240227T220000Z
DTSTAMP:20240523T095505Z
DTSTART:20240227T210000Z
GEO:42.358262;-71.090045
LOCATION:Building 2\, 449
SEQUENCE:0
SUMMARY:MIT Number Theory Seminar
UID:tag:localist.com\,2008:EventInstance_45633445596477
URL:https://calendar.mit.edu/event/mit_number_theory_seminar_1057
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