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18 Feb 2015: Hint 'f. V rfm(f)ΓQ. ,. where Vf is the two-dimensional -adic representation of ΓF attached [18, 24, 22]to f. ... 24] A. Wiles: On ordinary λ-adic representations associated to modular forms.

9 Jan 2015: 9 CorpusC 65.24 24.1. 10 Pembroke 64.96 24.5. 11 StCaths 64.63 23.5. ... 24 24 3.9 5.2 13.9 1093 356 88.2 71.3 61.9 688.

11 Sep 2015: Then t = (u βv)(u βv) K[x,y,u,v] is a quadratic form with(24) f(r1,. ... Thequadratic form t computed in (24) is an example of an odd form.

15 Sep 2015: P(λ(M) [λ dλ). )=. 1. ZGOEn|(λ)|. ni=1. e14λ2i dλi; (24). here(λ) :=. 1i<jn. (λj λi) = det(ϕi(λj)),. where (ϕi(λj)) = (λi1j ) is a Vandermonde matrix, and

22 Oct 2015: 4.2 Curry-Howard Correspondence in Proofs. 22. 5 Tennenbaum's Theorem 24. 6 Incompleteness 26. ... 24. CHAPTER 5. TENNENBAUM'S THEOREM. Theorem 5.2 (Tennenbaum's Theorem). PA has no non-standardmodel in which the graphs of and are decidable.

22 Sep 2015: so b = 1. 24. Exercise 1.5.1. There are many ways of explaining this. ... By inspection m = 1 is not asolution, but m = 2 is a solution (24 = 42).

10 Jul 2015: 24. If L consists of one equivalence class, we’re done. So suppose pDx,y P Lqx y.

7 Oct 2015: Note that Gromov has given an equivalent formulation of quasi-isometry via Hausdorff and Lipschitzequivalence (see [24]). ... Theorem 2.24 Let x1 and y1 be points of a hyperbolic metric space X.

3 Apr 2015: Automorphy of some residually dihedral Galois representations. Jack A. Thorne. April 3, 2015. Abstract. We establish the automorphy of some families of 2-dimensional representations of the absolute Galoisgroup of a totally real field, which do not

28 Jul 2015: INTRODUCTION TO HYPERBOLIC. AND AUTOMATIC GROUPS. S. M. Gersten. 1.0. Introduction. These notes comprise the revised and edited text of two hourlectures I delivered at the CRM Summer School on Groups held at Banff in August1996. I made no attempt at