Computes the geometric Sen operator on arbitrary Shimura varieties via equivariant bundles and the Hodge-Tate period map, yielding rational vanishing of completed cohomology.
On the p -adic pro-\'etale cohomology of D rinfeld symmetric spaces
3 Pith papers cite this work. Polarity classification is still indexing.
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Proves equivalence between smoothness of a rigid analytic variety and smoothness of its nuclear sheaves category in a six-functor formalism, relates compact generation to algebraization, and gives an example of a non-atomically generated internally smooth category.
Explores locality of mod p GL_2 representations over unramified quadratic extensions of Q_p by constructing a candidate representation of a subgroup via perfectoid geometry.
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Locally analytic completed cohomology
Computes the geometric Sen operator on arbitrary Shimura varieties via equivariant bundles and the Hodge-Tate period map, yielding rational vanishing of completed cohomology.
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Smooth categories in a 6 functor formalism and compact generation for nuclear categories in analytic geometry
Proves equivalence between smoothness of a rigid analytic variety and smoothness of its nuclear sheaves category in a six-functor formalism, relates compact generation to algebraization, and gives an example of a non-atomically generated internally smooth category.
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To be or not to be local
Explores locality of mod p GL_2 representations over unramified quadratic extensions of Q_p by constructing a candidate representation of a subgroup via perfectoid geometry.