本文印刷
全画面プリント
Kavli IPMU Komaba Seminar
過去の記録 ～04/19｜次回の予定｜今後の予定 04/20～
| 開催情報 | 月曜日 16:30～18:00 数理科学研究科棟(駒場) 002号室 |
|---|---|
| 担当者 | 河野 俊丈 |
2008年07月28日(月)
17:00-18:30 数理科学研究科棟(駒場) 002号室
Lin Weng 氏 (Kyushu University)
Symmetries and the Riemann Hypothesis
http://xxx.lanl.gov/abs/0803.1269
Lin Weng 氏 (Kyushu University)
Symmetries and the Riemann Hypothesis
[ 講演概要 ]
Associated to each pair of a reductive group
and its maximal parabolic, we will introduce an abelian zeta function.
This zeta, defined using Weyl symmetries, is expected
to satisfy a standard functional equation and the Riemann Hypothesis.
Its relation with the so-called high rank zeta,
a very different but closely related non-abelian zeta,
defined using stable lattices and a new geo-arithmetical cohomology,
will be explained.
Examples for $SL, SO, Sp$ and $G_2$ and confirmations of
(Lagarias and) Masatoshi Suzuki on the RH for zetas
associated to rank 1 and 2 groups will be presented
as well.
[ 参考URL ]Associated to each pair of a reductive group
and its maximal parabolic, we will introduce an abelian zeta function.
This zeta, defined using Weyl symmetries, is expected
to satisfy a standard functional equation and the Riemann Hypothesis.
Its relation with the so-called high rank zeta,
a very different but closely related non-abelian zeta,
defined using stable lattices and a new geo-arithmetical cohomology,
will be explained.
Examples for $SL, SO, Sp$ and $G_2$ and confirmations of
(Lagarias and) Masatoshi Suzuki on the RH for zetas
associated to rank 1 and 2 groups will be presented
as well.
http://xxx.lanl.gov/abs/0803.1269
