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VISUALISING ELEMENTS OF ORDER 7 IN THETATE-SHAFAREVICH GROUP OF ...
https://www.dpmms.cam.ac.uk/~taf1000/papers/visible7.pdf18 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. -
Topics.dvi
https://www.dpmms.cam.ac.uk/~twk/Gow.pdf23 Apr 2016: Exercise 24. (i) Show that the set l of bounded sequences over F (withF = R or F = C). ... 24. Theorem 77. (Krein–Milman). Let E be the dual space of a normedvector space. -
The Effective Topos J.M.E. HylandDepartment of Pure Mathematics,…
https://www.dpmms.cam.ac.uk/~martin/Research/Oldpapers/hyland-effectivetopos.pdf25 May 2016: The Effective Topos. J.M.E. HylandDepartment of Pure Mathematics, Cambridge, England. 0 IntroductionThe subject of this paper is the most accessible of a series of toposes whichcan be constructed from notions of realizability: it is that based on -
The Effective Topos J.M.E. HylandDepartment of Pure Mathematics,…
https://www.dpmms.cam.ac.uk/~martin/Research/Pub81-90/hyland-effectivetopos.pdf25 May 2016: The Effective Topos. J.M.E. HylandDepartment of Pure Mathematics, Cambridge, England. 0 IntroductionThe subject of this paper is the most accessible of a series of toposes whichcan be constructed from notions of realizability: it is that based on -
SUP.dvi
https://www.dpmms.cam.ac.uk/~twk/SUP.pdf18 Oct 2016: In the third year studentshave supervisions in specific subjects (generally 4 supervisions for a 24 hourcourse and 3 supervisions for a 16 hour course). ... Be Specific I was once told by a Swimming Trainer that it took 24 hoursof training to modify a -
PART II REPRESENTATION THEORYSHEET 2 Unless otherwise stated, all ...
https://www.dpmms.cam.ac.uk/study/II/RepresentationTheory/2015-2016/repex2.pdf6 Jan 2016: 1 21 42 56 24 24α 14 2 0 1 0 0β 15 1 1 0 1 1γ 16 0 0 2 2 2. ... 24 = g5.]. 10 Let a finite group G act on itself by conjugation. -
On the GLn-eigenvariety and a conjecture of Venkatesh David ...
https://www.dpmms.cam.ac.uk/~jat58/hwonf.pdf28 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 -
Modular forms part III — lecture notes A J ...
https://www.dpmms.cam.ac.uk/~ajs1005/modular/2015-16/notes-2016-1.pdf23 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 -
Modular forms (Lent 2016) — example sheet #2 1. ...
https://www.dpmms.cam.ac.uk/~ajs1005/modular/2015-16/ex-sheet-2-2016.pdf10 May 2016: 1. 2πi. d. dτlog (τ) = q. d. dqlog (τ) =. 3. π2G2(τ) = 1 24. n=1. σ1qn. Hence show that. (τ) = qn=1. ... 1 qn)24. 8. (Rankin-Selberg integral) Let f, g Sk(SL2(Z)), with q-expansionsanq. -
Modular forms (Lent 2016) — example sheet #1 1. ...
https://www.dpmms.cam.ac.uk/~ajs1005/modular/2015-16/ex-sheet-1-2016.pdf2 Feb 2016: π2. 3. (1 24. n=1. σ1(n)qn. ). Explain why G2(τ) is not a modular form of weight 2.
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