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Seminar
FIELD Mathematics
DATE July 06 (Mon), 2020
TIME 14:00-15:00
PLACE 8309
SPEAKER 이정인
HOST Choi, Junhwa
INSTITUTE POSTECH
TITLE On the number of abelian varieties over finite fields
ABSTRACT

Let B(q, g) be the number of isomorphism classes of abelian varieties of dimension g over a finite field F_q. Since the number B(q, g) is known to be finite, it is natural to consider its asymptotic behavior. In this talk, we will provide a lower bound and an upper bound of B(p, g) as g->∞ for a fixed prime p. We will also investigate the number of simple isogeny classes of abelian varieties over F_q of dimension g.

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