Computing the endomorphism ring of an ordinary abelian surface over a finite field

Algebra and Number Theory Seminar

Meeting Details

For more information about this meeting, contact Kristin Berrigan, Robert Vaughan, Mihran Papikian, Ae Ja Yee, Kirsten Eisentraeger, Jack Huizenga.

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

Date: 04/11/2019

Time: 11:00am - 11:50am