BIMSA > BIMSA AG Seminar The cycle class of the supersingular locus
The cycle class of the supersingular locus
Organizers
Mao Sheng , Artan Sheshmani , Nan Jun Yang , Bei Hui Yuan
Speaker
Gerard Van der Geer
Time
Thursday, October 26, 2023 3:00 PM - 4:00 PM
Venue
YMSC-Jingzhai-304
Online
Zoom 638 227 8222 (BIMSA)
Abstract
Deuring gave a 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. 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.