Algebraic Geometry Seminar

Seminar information archive ~05/02Next seminarFuture seminars 05/03~

Date, time & place Friday 13:30 - 15:00 118Room #118 (Graduate School of Math. Sci. Bldg.)
Organizer(s) GONGYO Yoshinori, KAWAKAMI Tatsuro, ENOKIZONO Makoto

2024/11/01

13:30-15:00   Room #118 (Graduate School of Math. Sci. Bldg.)
Gerard van der Geer (University of Amsterdam)
The cycle class of the supersingular locus (English)
[ Abstract ]
Deuring gave a now classical formula for the number of supersingular elliptic curves
in characteristic p. We generalize this to a formula for the cycle class of the
supersingular locus in the moduli space of principally polarized abelian varieties
of given dimension g in characteristic p. The formula determines the class up to
a multiple and shows that it lies in the tautological ring. We also give the multiple
for g up to 4. This is joint work with S. Harashita.