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math.AT2024
Classical stable homotopy groups of spheres via -synthetic methods
Robert Burklund, Daniel C. Isaksen, Zhouli Xu
We study the -synthetic Adams spectral sequence. We obtain new computational information about -motivic and classical stable homotopy groups.
math.AT2024
A note on the Segal conjecture for large objects
Robert Burklund, Vignesh Subramanian
The Segal conjecture for (as proved by Lin and Gunawardena) asserts that the canonical map from the -complete sphere spectrum to the Tate construction for the trivial acti…
math.AT2024
-coalgebras and -adic homotopy theory
Tom Bachmann, Robert Burklund
We show that for any separably closed field of characteristic , the canonical functor from nilpotent -adic spaces to -coalgebras over (given by…