seminar:2018:010

### 第10回

• 講演者 : 中屋 智瑛 氏 (九州大学大学院数理学府)
• 題目 : The number of linear factors of supersingular polynomials and sporadic simple groups
• 日時 : 2018年 11月 9日 (金) 16:30 〜 17:30

The set of prime numbers $p$ such that the supersingular j-invariants in characteristic $p$ are all contained in the prime field is finite. And it is well known that this set of primes coincides with the set of prime divisors of the order of the Monster simple group. In this paper, we will present analogous coincidences of supersingular invariants in level $2$ and $3$ and the orders of the Baby monster group and the Fischer's group. The proof uses a connection between the number of supersingular invariants and class numbers of imaginary quadratic fields.

11 images

seminar/2018/010.txt · 最終更新: 2018/11/13 21:30 (外部編集)