### Computing functional equations of l-adic polylogarithmic characters on Galois group

Nakamura, H *(Okayama)*

Tuesday 25 August 2009, 11:00-12:00

Seminar Room 1, Newton Institute

#### Abstract

From a family of morphisms to the projective line minus 3 points satisfying Wojtkowiak-Zagier test, one can derive a functional equation of polylogarithms. In this talk, I present a joint work with Z.Wojtkowiak computing l-adic analogs of such functional equations without omitting lower degree terms and l-adic error terms.