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過去の記録 ～03/17｜次回の予定｜今後の予定 03/18～
| 開催情報 | 金曜日 13:30～15:00 数理科学研究科棟(駒場) ハイブリッド開催/117号室 |
|---|---|
| 担当者 | 權業 善範、中村 勇哉、田中 公 |
2024年11月01日(金)
13:30-15:00 数理科学研究科棟(駒場) 118号室
Gerard van der Geer 氏 (University of Amsterdam)
The cycle class of the supersingular locus (English)
Gerard van der Geer 氏 (University of Amsterdam)
The cycle class of the supersingular locus (English)
[ 講演概要 ]
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.
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.
