Algebra/Topology seminar

Speaker: Geoffroy Horel (MPI Bonn)

Title: Operad of little disks and motivic homological stability for configurations spaces of points in the line

Abstract: I will quickly recall the construction of Voevodsky's category of motives. I will describe the motivic t-structure on the category of mixed Tate motives. Once equipped with a t-structure, the concept of homological stability makes sense. I will show that the sequence of configuration spaces of points in the affine line satisfies homological stability in the motivic world. Moreover the stable homology can be understood via the scanning map as in the classical case.