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Taipei Postdoc Seminar
11:00 - 12:30, December 21, 2016 (Wednesday)
Room 638, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 638室)
Counting Isoclasses Superspecial Abelian Surfaces Over Finite Fields
Tse-Chung Yang (Academia Sinica)

From the results of Waterhouse, the explicit formula for the isomorphism classes of supersingular elliptic curves over any finite field is known.

In this talk, I will recall Honda-Tate theorem which help us parametrize the isogeny classes of simple abelian varieties over a finite field with elements. In each isogeny class, we provide a lattice description for superspecial abelian varieties over . Our description depends on the parity of the exponent of When is an odd power of the prime , we give an explicit formula for the number of superspecial abelian surfaces over


This is a joint work with Jiangwei Xue and Chia-Fu Yu


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