William Balderrama

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math.AT2026

Kahn-Priddy theorems via the norm

William Balderrama

We revisit the Kahn-Priddy theorem from the perspective of modern equivariant homotopy theory. This allows for a short proof that may be applied in other settings with sufficiently…

math.AT2023

A motivic analogue of the K(1)-local sphere spectrum

William Balderrama, Kyle Ormsby, J. D. Quigley

We identify the motivic $K G L /2$ -local sphere as the fiber of $ψ^{3} - 1$ on $(2, η)$ -completed Hermitian $K$ -theory, over any base scheme containing $1/2$ . This is a motivic analogue of…