Number Theory Seminar: Vijaykumar Singh
Topic
Classification of isogeny classes of supersingular abelian varieties over finite fields
Speakers
Details
Abstract
I will give a complete classification of the isogeny classes of supersingular abelian varieties for all dimensions by explicitly finding all possible characteristic polynomial of Frobenius endomorphism up to dimension 7 and giving an algorithm to find for all dimensions using Honda-Tate Theory. This is joint work with Gary McGuire and Alexey Zaytsev.
