New results on the equivariant slice filtration

Algebro-Geometric and Homotopical Methods

23 March 11:00 - 12:00

Mike Hill - University of California, UCLA

I'll describe a new way to understand the equivariant slice filtration in terms of ordinary connectivity of geometric fixed points. This allows for simple determinations of when smashing with representation spheres induces an equivalence of slice categories. I'll then connect this to multiplicative concerns, showing how the slice filtration also arises naturally when considering topological Andre-Quillen cohomology for equivariant commutative ring spectra. At each point, I will try to emphasize similarities and connections with the motivic story as well.
Eric M. Friedlander
The University of Southern California
Lars Hesselholt
University of Copenhagen
Paul Arne Østvaer
University of Oslo


Paul Arne Østvaer


For practical matters at the Institute, send an e-mail to