Séminaire Arithmétique et géométrie algébrique

organisé par l'équipe Arithmétique et géométrie algébrique

p-Torsion of Jacobians of curves in characteristic p

— Steven Groen

2 février 2023 - 14:00Salle de conférences IRMA

Let A be an Abelian variety of dimension g over an algebraically closed field k. We are interested in the group scheme A[p], consisting of the elements of A whose order divides p. If the characteristic of k is not p, then there is only one possibility for A[p] up to isomorphism. On the other hand, if k has characteristic p, then there are several distinct possibilities for A[p], called Ekedahl-Oort strata. An example of an Ekedahl-Oort stratification is the distinction between ordinary and supersingular elliptic curves. If the dimension g is higher, it is natural to ask which Ekedahl-Oort strata contain the Jacobian of a curve. In this talk, we explore previously known results and new results in this area. In many cases, we add the restriction that the curves in question are Artin-Schreier covers.
TBA

— Daniel Kriz

9 février 2023 - 14:00Salle de séminaires IRMA
TBA

— Boughattas Elyes

2 mars 2023 - 14:00Salle de séminaires IRMA
TBA

— Deng Ya

16 mars 2023 - 14:00Salle de séminaires IRMA
TBA

— Cheng Raymond

30 mars 2023 - 14:00Salle de séminaires IRMA
TBA

— Nuiten Joost

6 avril 2023 - 14:00Salle de séminaires IRMA
TBA

— He Tongmu

13 avril 2023 - 14:00Salle de séminaires IRMA