Periodic phenomena in stable motivic homotopy theory
arXiv:2607.18165
Abstract
In this survey, we study how tools from stable homotopy theory have manifested and impacted motivic homotopy theory. In particular, we discuss various motivic Adams spectral sequences, periodicity in the motivic stable homotopy groups of spheres, and synthetic spectra. We conclude with many problems for future investigation.
40 page, 1 figure. Contributed survey for AMS Contemporary conference proceedings for Fall 2025 Midwest Topology Seminar "Equivariant, Motivic, and Physical Topology in the Midwest". Comments welcome!