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A 2-adic automorphy lifting theorem for unitary groups over ...
https://www.dpmms.cam.ac.uk/~jat58/p_equals_2.pdf16 Mar 2016: i) There is an isomorphism ρc = ρ1n. (ii) The group ρ(GF(ζp)) GLn(Fp) is adequate, in the sense of Definition 2.20. ... Definition 2.20. Let K be a field. We say that a subgroup H GLn(K) is adequate if it satisfies thefollowing conditions:. -
Automorphy of some residually S5 Galois representations…
https://www.dpmms.cam.ac.uk/~jat58/quintic.pdf27 Apr 2016: Automorphy of some residually S5 Galois representations. Chandrashekhar B. Khare and Jack A. Thorne†. April 27, 2016. Abstract. Let F be a totally real field and p an odd prime. We prove an automorphy lifting theorem forgeometric representations -
Optimization
https://www.dpmms.cam.ac.uk/study/IB/Optimization/2015-2016/notes.pdf25 Apr 2016: 20. 6 Linear Programming Duality 216.1 The Relationship between Primal and Dual. ... In this case any. 20 5 Solutions of Linear Programs. point x X can be written as a convex combination x =ki=1 δix. -
Arithmetic invariant theory and 2-descent for plane quartic curves ...
https://www.dpmms.cam.ac.uk/~jat58/plane_quartics.pdf29 Apr 2016: Arithmetic invariant theory and 2-descent for plane quartic curves. Jack A. Thorne. April 29, 2016. Abstract. Given a smooth plane quartic curve C over a field k of characteristic 0, with Jacobian variety J, anda marked rational point P C(k), we -
Inverse Problems in Geometry and DynamicsLecture notes Will J. ...
https://www.dpmms.cam.ac.uk/~gpp24/ipgd%283%29.pdf30 Apr 2016: PROPOSITION 1.16. For k 2 N,. c2k D. 1/2k. Z 20. ... We shall really only sketch the ideasinvolved. Let. h.s/ WD. Z 20. -
The Effective Topos J.M.E. HylandDepartment of Pure Mathematics,…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Oldpapers/hyland-effectivetopos.pdf25 May 2016: Proof. Trivial category theory. 20. Lemma 8.2. Markov’s principle. R P(N).(n.R(n) R(n)) n.R(n) nR(n). -
The Effective Topos J.M.E. HylandDepartment of Pure Mathematics,…
https://www.dpmms.cam.ac.uk/~jmeh1/Research/Pub81-90/hyland-effectivetopos.pdf25 May 2016: Proof. Trivial category theory. 20. Lemma 8.2. Markov’s principle. R P(N).(n.R(n) R(n)) n.R(n) nR(n).
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