Deepam Patel (Université d'Amsterdam)

Motivic structure on higher homotopy of non-nilpotent spaces

In his fundamental paper on the projective line minus three points, Deligne constructed certain extensions of mixed Tate motives arising from the fundamental group of the projective line minus three points. Since then, motivic structures on homotopy groups have been studied by many authors. In this talk, we will construct a motivic structure on the (nilpotent completion of) n-th homotopy group of P^{n} minus n+2 hyperplanes in general position.

Motivic structure on higher homotopy of non-nilpotent spaces - Deepam Patel par Ihes_science