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Showing 1 to 6 of 6 for “"Doud"”.
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Proven Cases of a Generalization of Serre's Conjecture
… and two-dimensional Galois representations. Ash, Doud, and Pollack have extended this conjecture to a correspondence between Hecke eigenclasses in arithmetic cohomology and n-dimensional Galois representations. We present some of the first examples of proven cases of this generalized conjecture.
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Explicit Computations Supporting a Generalization of Serre's Conjecture
… and modular forms. A conjecture by Ash, Doud, and Pollack generalizes Serre's to higher-dimensional Galois representations. In this paper we discuss an explicit computational example supporting the generalized claim. An ambiguity in a calculation within the example is resolved using a …
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Totally Real Galois Representations in Characteristic 2 and Arithmetic Cohomology
… new examples supporting a conjecture of Ash, Doud, and Pollack. This conjecture involves Galois representations taking Gal(Q bar/Q) to the general linear group of 3 x 3 matrices in characterisic 2, and our examples are where complex conjugation is mapped to the identity. Since this case has …
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PSL(2,7)-Extensions with Certain Ramification at Two Primes
… allowing for refinement of a conjecture of Ash, Doud, and Pollack. In the course of our search we prove that the smallest p for which such an example occurs is p=31 and that the next possible example occurs at p=103.
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"A-OK": Chest Radiograph During Primary Survey Facilitates Faster, More Accurate Endotracheal Tube Position in Injured Children
Purpose: The Advanced Trauma Life Support (ATLS) algorithm typically postpones radiographic confirmation of endotracheal tube (ETT) placement until the end of the secondary survey. Correct ETT depth is critical in pediatric trauma. We hypothesized that bedside confirmatory techniques are inaccurate …
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Deformations of Three-Dimensional Galois Representations
Having explicitly calculated universal deformations, the next logical question is whether we can calculate deformations with local restrictions. In fact, the ordinary deformation problem is representable, and we explain how to calculate the universal ordinary deformation. We proceed to perform this …