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Mike Hill: New results on the equivariant slice filtration

Tid: To 2017-03-23 kl 11.00 - 12.00

Plats: Institut Mittag-Leffler, Auravägen 17, Djursholm

Medverkande: Mike Hill, University of California, UCLA

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Abbstract: 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.