4 citations · 8 across the 4 of their papers we have counts for
6 papers
The Grothendieck-Teichmüller group acts on the genus mapping class group with or marked point
Pierre Lochak, Hiroaki Nakamura, Leila Schneps
The goal of this article is to prove that the Grothendieck-Teichmüller group acts on and ,the (full) profinite genus mapping c…
Elliptic multizetas and the elliptic double shuffle relations
Pierre Lochak, Nils Matthes, Leila Schneps
We define an elliptic generating series whose coefficients, the elliptic multizetas, are related to the elliptic analogues of multiple zeta values introduced by Enriquez as the coe…
Profinite completions of Burnside-type quotients of surface groups
Louis Funar, Pierre Lochak
Using quantum representations of mapping class groups we prove that profinite completions of Burnside-type surface group quotients are not virtually prosolvable, in general. Furthe…
Garside elements, inertia and Galois action on braid groups
Filippo Callegaro, Giovanni Gaiffi, Pierre Lochak
An important piece of information in the theory of the arithmetic Galois action on the geometric fundamental groups of schemes is that divisorial inertia is acted on cyclotomically…
Homology of depth-graded motivic Lie algebras and koszulity
Benjamin Enriquez, Pierre Lochak
The Broadhurst-Kreimer (BK) conjecture describes the Hilbert series of a bigraded Lie algebra A related to the multizeta values. Brown proposed a conjectural description of the hom…
Profinite complexes of curves, their automorphisms and anabelian properties of moduli stacks of curves
M. Boggi, P. Lochak
Let , for , be the D-M moduli stack of smooth curves of genus labeled by unordered distinct points. The main result of the paper is that a finit…