Borys Kadets (MIT)
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Abstract: The Weil conjectures for abelian varieties (proved by Weil) imply for any abelian variety of dimension
the inequalities
. I will describe proofs of improved versions of these inequalities. For example, the lower bound
is vacuous for
; I will prove that all but finitely many simple abelian varieties satisfy
,
. For
, on the other hand, a theorem of Madan and Sät states that there are infinitely many simple abelian varieties over
with exactly one point.
The seminar will be held on zoom. Please use the link below to join