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We study deformation theory of mod p Galois representations of p-adic fields with values in generalised reductive group schemes, such as L-groups and C-groups. We show that the corresponding deformation rings are complet...

The arithmetic of Hilbert modular forms has been extensively studied under the assumption that the forms concerned are “paritious”—all the components of the weight are congruent modulo 2. In contrast, non-paritious...

Determining the quantum-classical boundary between quantum circuits that can be efficiently simulated classically and those that cannot remains a fundamental question. One approach to classical simulation is to represent...