Endomorphism algebras of abelian varieties


Hsi-Yen Ma ( Lawrence Livermore National Laboratory, USA )
2017-04-14  13:30 - 14:30
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)

he main part of this talk is a survey of some (well-known) questions and methods of studying endomorphism algebras of abelian varieties. Then we discuss a few explicit results over finite fields joint in progress with Jiangwei Xue. We determine possible endomorphism algebras of abelian surfaces, and the number of the endomorphism rings of superspecial abelian surfaces.