Motivic structure on higher homotopy of non-nilpotent spaces
10 avr 2013 10h30 Deepam PATEL ( Université d’Amsterdam ).
Centre de conférences Marilyn et James Simons ( IHÉS )
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 Pn minus n+2 hyperplanes in general position.