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math.KT2026
Syntomic cohomology of truncated Brown--Peterson spectra
Gabriel Angelini-Knoll
We compute the -based syntomic cohomologies, mod , of all -algebra forms of the truncated Brown--Peterson spectrum $\ma…
math.KT2024
Syntomic cohomology of Morava K-theory
Gabriel Angelini-Knoll, Jeremy Hahn, Dylan Wilson
We compute the MU-based syntomic cohomologies, mod , of all -MU-algebra forms of connective Morava K-theory k(n). As qualitative consequences,…
math.KT2018
Detecting elements in iterated algebraic K-theory
Gabriel Angelini-Knoll
The Lichtenbaum--Quillen conjecture (LQC) relates special values of zeta functions to algebraic K-theory groups. The Ausoni--Rognes red-shift conjectures generalize the LQC to high…