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math.AG2019
Scheiderer motives and equivariant higher topos theory
Elden Elmanto, Jay Shah
We give an algebro-geometric interpretation of -equivariant stable homotopy theory by means of the -topology introduced by Claus Scheiderer in his study of -torsion phen…
math.AG2019
Descent for semiorthogonal decompositions
Benjamin Antieau, Elden Elmanto
We prove descent theorems for semiorthogonal decompositions using techniques from derived algebraic geometry. Our methods allow us to capture more general filtrations of derived ca…
math.AG2019
Modules over algebraic cobordism
Elden Elmanto, Marc Hoyois, Adeel A. Khan +2
We prove that the -category of -modules over any scheme is equivalent to the -category of motivic spectra with finite syntomic transfers. Using the re…