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math.AT2025
Duality and linearization for p-adic lie groups
Dustin Clausen
We promote Lazard's Poincaré duality for p-adic Lie groups to spectrum coefficients. The key aspect is the determination of the dualizing object in terms of "linear" data, namely t…
math.AT2016
A short proof of telescopic Tate vanishing
Dustin Clausen, Akhil Mathew
We give a short proof of a theorem of Kuhn that Tate constructions for finite group actions vanish in telescopically localized stable homotopy theory. In particular, we observe tha…
math.AT2011★ 11 cited
p-adic J-homomorphisms and a product formula
Dustin Clausen
One-point compactification turns real vector spaces into spheres. In homotopy theory, this transformation gets encoded in a map called the "real J-homomorphism". Here we define and…