Computing the endomorphism ring of an ordinary abelian surface over a finite field
Speaker: Caleb Springer, Penn State University
Abstract: The endomorphism ring of an ordinary abelian variety over a finite field is isomorphic to an order in a CM field. Knowing the endomorphism ring of a given abelian variety is useful for various problems, such as understanding isogeny graphs and computing class polynomials. In this talk, we present a subexponential algorithm for computing the endomorphism ring by utilizing class groups.
Room Reservation Information
Room Number: 106 McAllister
Time: 11:00am - 11:50am