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

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

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Hana Jia Kong, Institute for Advanced Study

Zoom link: https://princeton.zoom.us/j/96282936122

Passcode: 998749

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 explain 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.