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math.CT2026
Dioperads, Frobenius monoidal functors and duality
Valerio Melani, Hugo Pourcelot
Motivated by duality phenomena for derived global sections on derived local systems on compact oriented manifolds, we introduce the notion of a -duality context between symmetri…
math.CT2025
Tate modules as condensed modules
Valerio Melani, Hugo Pourcelot, Gabriele Vezzosi
We prove that the category of countable Tate modules over an arbitrary discrete ring embeds fully faithfully into that of condensed modules. If the base ring is of finite type, we…