Number Theory Seminar

Seminar information archive ~09/23Next seminarFuture seminars 09/24~

Date, time & place Wednesday 17:00 - 18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
Organizer(s) Naoki Imai, Yoichi Mieda

2013/10/30

16:40-17:40   Room #002 (Graduate School of Math. Sci. Bldg.)
Pierre Charollois (Université Paris 6)
Explicit integral cocycles on GLn and special values of p-adic partial zeta functions (ENGLISH)
[ Abstract ]
Building on earlier work by Sczech, we contruct an explicit integral valued cocycle on GLn(Z).
It allows for the detailed analysis of the order of vanishing and of the special value at s=0 of the p-adic partial zeta functions introduced by Pi. Cassou-Noguès and Deligne-Ribet. In particular we recover a result of Wiles (1990) on Gross conjecture.
Another construction, now based on Shintani's method, is shown to lead to a cohomologous cocycle. This is joint work with S. Dasgupta and M. Greenberg.