Kavli IPMU Komaba Seminar

Seminar information archive ~03/28Next seminarFuture seminars 03/29~

Date, time & place Monday 16:30 - 18:00 002Room #002 (Graduate School of Math. Sci. Bldg.)

2008/07/28

17:00-18:30   Room #002 (Graduate School of Math. Sci. Bldg.)
Lin Weng (Kyushu University)
Symmetries and the Riemann Hypothesis
[ Abstract ]
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.
[ Reference URL ]
http://xxx.lanl.gov/abs/0803.1269