Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
On the rigid cohomology of certain
2 Pith papers cite this work. Polarity classification is still indexing.
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Locally analytic vectors in the completed cohomology of GL_n over CM fields admit infinitesimal characters determined by Sen operators of associated Galois representations, confirming the Dospinescu-Paškūnas-Schraen conjecture in this case.
citing papers explorer
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Convergence of orbital integrals on unitary groups in positive characteristic
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
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Infinitesimal characters for the completed cohomology of $\mathrm{GL}_n$ over CM fields
Locally analytic vectors in the completed cohomology of GL_n over CM fields admit infinitesimal characters determined by Sen operators of associated Galois representations, confirming the Dospinescu-Paškūnas-Schraen conjecture in this case.