Text only print
Full screen print
Information Mathematics Seminar
Seminar information archive ～04/28｜Next seminar｜Future seminars 04/29～
| Date, time & place | Thursday 16:50 - 18:35 128Room #128 (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | Toshiyuki Katsura |
2023/11/16
16:50-18:35 Room #128 (Graduate School of Math. Sci. Bldg.)
Takuya Yamauchi (Tohoku Univ.)
Isogeny graphs on superspecial abelian varieties: Eigenvalues, Connection to Bruhat-Tits buildings, and Property (T) (Japanese)
Takuya Yamauchi (Tohoku Univ.)
Isogeny graphs on superspecial abelian varieties: Eigenvalues, Connection to Bruhat-Tits buildings, and Property (T) (Japanese)
[ Abstract ]
For each fixed integer $g\ge 2$, a prime $p$, and all primes $\ell$ with $\ell\neq p$, we can consider finite regular directed graphs associated with the set of equivalence classes of $\ell$-marked principally polarized superspecial abelian varieties of dimension $g$ in characteristic $p$. In this talk, I will explain that we can study such graphs in terms of the corresponding Bruhat-Tits buildings. I also discuss the eigenvalues values of the random walk matrices in view of the theory of automorphic representations when $g=2$. This is a joint work with Y. Aikawa (Tokyo university) and R. Tanaka (Kyoto university).
For each fixed integer $g\ge 2$, a prime $p$, and all primes $\ell$ with $\ell\neq p$, we can consider finite regular directed graphs associated with the set of equivalence classes of $\ell$-marked principally polarized superspecial abelian varieties of dimension $g$ in characteristic $p$. In this talk, I will explain that we can study such graphs in terms of the corresponding Bruhat-Tits buildings. I also discuss the eigenvalues values of the random walk matrices in view of the theory of automorphic representations when $g=2$. This is a joint work with Y. Aikawa (Tokyo university) and R. Tanaka (Kyoto university).
