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math.AG2023
Tannaka duality and 1-affineness
Germán Stefanich
We show that Lurie's results on Tannaka duality for geometric stacks hold without any tameness hypotheses. We deduce this as a consequence of an affineness theorem in the theory of…
math.CT2023
Derived -categories as exact completions
Germán Stefanich
We develop the theory of exact completions of regular -categories, and show that the -categorical exact completion (resp. hypercompletion) of an abelian category re…
math.CT2023
Classification of fully dualizable linear categories
Germán Stefanich
We prove that if is a G-ring then every fully dualizable -linear cocomplete category is equivalent to a twist by a -gerbe of the category of modules over a fin…