Proves finiteness of continuous semisimple geometric representations to GL_n(F) for curves with arbitrary D, varieties with D=0, and liftable representations.
Cohomologie cohé rente et représentations Galoisiennes
10 Pith papers cite this work. Polarity classification is still indexing.
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Proves Erdős-Kac type central limit theorems for the number of ramified primes in random G-extensions of number fields when G is abelian, including first examples of dependent local ramification events.
Orbital integrals on unitary groups over local fields in positive characteristic converge absolutely.
The condensed fundamental group of Spec(Z) is non-trivial, hence Spec(Z) is not condensed contractible.
The nth Amitsur group is a stable G-birational invariant of smooth projective G-varieties over char-0 fields for all n≥2.
A new fibration theorem implies solvable descent, solving the Grunwald problem for solvable groups up to the Brauer-Manin obstruction.
Generalizes the perfectoid method to construct overconvergent automorphic sheaves whose global sections are overconvergent Siegel modular forms and establishes an explicit overconvergent Eichler-Shimura morphism.
Any Farey triangle corresponds to a variant of the Colmez-Fontaine fundamental lemma, with the original lemma matching the triangle (1/0, 1/1, 0/1).
An algorithm is provided for selecting distinguished defining polynomials for p-adic field extensions, serving as a key component in expanding the LMFDB p-adic fields database.
Shape theory for condensed anima recovers classical shape for paracompact compactly generated and locally contractible spaces while extending sheaf-condensed cohomology comparisons.
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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.