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Mathematisches Forschungsinstitut Oberwolfach Report No. 48/2004

Summary: Mathematisches Forschungsinstitut Oberwolfach
Report No. 48/2004
Arbeitsgemeinschaft mit aktuellem Thema: Polylogarithms
Organised by
Spencer Bloch (Chicago )
Guido Kings (Regensburg )
J¨org Wildeshaus (Villetaneuse )
Oktober 3rd ­ Oktober 9th, 2004
2 Oberwolfach Report 48/2004
Motivic version of the classical Polylogarithms
Ayoub Joseph
We show that the mixed Hodge variation polH and the -adic sheaf pol are real-
ization of a same motivic object polM which live in the abelian category MTM(U)
of mixed Tate motives over U = P1
- {0, 1, }.
(1) Categories of motives.
(2) Construction of LogM and polM.
(3) Comparison with the realizations.
1. Categories of motives
Given a scheme X one have the Voevodsky's category DM(X) of triangulated


Source: Ayoub, Joseph - Institut für Mathematik, Universität Zürich


Collections: Mathematics