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math.AT2023
Quivers and the Adams spectral sequence
Robert Burklund, Piotr Pstrągowski
In this paper, we describe a novel way of identifying Adams spectral sequence -terms in terms of homological algebra of quiver representations. Our method applies much more br…
math.AT2018
Chromatic Picard groups at large primes
Piotr Pstrągowski
As a consequence of the algebraicity of chromatic homotopy at large primes, we show that the Hopkins' Picard group of the -local category coincides with the algebraic one whe…
math.AT2017
Moduli of spaces with prescribed homotopy groups
Piotr Pstrągowski
We describe a homotopy-theoretic approach to the theory of moduli of realizations of Blanc-Dwyer-Goerss, reproducing their obstructions to realizing a given -algebra as homotopy…