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Topology Seminar

Thu., Feb. 10, 2022 1:00 p.m.

Location: Live Stream

Speaker: Hana Jia Kong, Institute for Advanced Study

Title: Motivic image-of-J spectrum via the effective slice spectral sequence



The "image-of-J" spectrum in the classical stable homotopy category has been well-studied; Bachmann–Hopkins defined its motivic analogue. In this talk, I will start with the classical story, and then move to the motivic version. I will talk about the effective slice computation of the motivic "image-of-J" spectrum over the real numbers. Unlike the classical case, the map from the motivic sphere is not surjective on homotopy groups. Still, it captures a regular pattern that appears in the R-motivic stable stems. This is joint work with Eva Belmont and Dan Isaksen.