2 papers
math.AG2025
Two dimensional versions of the affine Grassmannian and their geometric description
Andrea Maffei, Valerio Melani, Gabriele Vezzosi
For a smooth affine algebraic group over an algebraically closed field, we consider several two-variables generalizations of the affine Grassmannian , gi…
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…