Joseph Ayoub: A new model for the T-spectrum representing algebraic de Rham cohomology

Coffee: 14:30-15:00

Abstract: Algebraic de Rham cohomology is classically represented by a nice and simple T-spectrum which is given in each level by the usual de Rham complex considered as a complex of presheaves on smooth varieties. In this talk I will try to describe a new T-spectrum which also represents algebraic de Rham cohomology. This new T-spectrum is much more complicated than the previous one but has the advantage to be closer, in some sense, to the T-spectrum representing motivic cohomology.