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13 Feb 2016: 144169)(x 540 12. 144169). 22. (144169 is prime). In particular we see that the Hecke eigenforms of weight 24 donot have rational coefficients.

18 Aug 2016: Inparticular L has degree 24, and its only non-trivial subfield has degree 8. ... Let L be the number field of degree 24 defined by the x-coordinate of a 7-torsion.

23 Feb 2016: Modular forms part III — lecture notes. A J Scholl1. These are the notes from 2008 with corrections and edited to reflect better thecontent and presentation of the course in 2016. 1 Elliptic functions. Generalities. Function theory on an elliptic

3 Feb 2016: See [11, 72] for the original treatments and also [24]. The expectation that the Kerr solutions are unique even without imposingaxisymmetry stems from a pretty rigidity argument due to Hawking [47].

27 Apr 2016: 9 Deduction of the main theorem 24. 1 Introduction. Let F be a totally real number field, let p be a prime, and let ρ : GF GL2(Qp) be a geometric ... 5.24]) one can find a Taylor–Wiles set Q1 with the required properties.

28 Nov 2016: On the GLn-eigenvariety and a conjecture of Venkatesh. David Hansen and Jack A. Thorne†. November 28, 2016. Abstract. Let π be a cuspidal, cohomological automorphic representation of GLn(A). Venkateshhas suggested that there should exist a

18 Aug 2016: 24 TOM FISHER. Proposition 9.5. Suppose n 2r 1. Let D = P1.

29 Apr 2016: 23A.3 Proof of Proposition A.2. 24. Introduction. Motivation. Let C be a smooth, projective, geometrically connected algebraic curve over a field k ofcharacteristic 0, and let J denote its

16 Mar 2016: A 2-adic automorphy lifting theorem for unitary groups over CM. fields. Jack A. Thorne. March 16, 2016. Abstract. We prove a ‘minimal’ type automorphy lifting theorem for 2-adic Galois representations of unitarytype, over imaginary CM fields. We

30 Apr 2016: will introduce later (see Exercise 3.24). ... EXERCISE 1.24. Prove the lemma (the reader may find a proof using local coordinates in [GHL04,Theorem 2.124], or an intrinsic proof is given in [Pat99, Proposition 1.21],