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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. -
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. -
ICM-Proceedings-example2.dvi
https://www.dpmms.cam.ac.uk/~md384/ICMarticleMihalis.pdf3 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]. -
3 Hecke operators Let L be the free abelian ...
https://www.dpmms.cam.ac.uk/~ajs1005/modular/2015-16/notes-2016-2.pdf13 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. -
Lent Term 2016 O. Randal-Williams IB Groups, Rings, and ...
https://www.dpmms.cam.ac.uk/~or257/teaching/IBGRM/Sheet3.pdf15 Feb 2016: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4. -
C:/Users/rdc26/Desktop/coding_and_crypt-16-2 (1).dvi
https://www.dpmms.cam.ac.uk/study/II/Coding/2015-2016/CC2-2016.pdf15 Feb 2016: 24) Let 0 < δ < 1/2 and write. α(δ) = lim supn. -
Lent Term 2016 O. Randal-Williams IB Groups, Rings, and ...
https://www.dpmms.cam.ac.uk/study/IB/GroupsRings%2BModules/2015-2016/grm20163.pdf15 Feb 2016: X4 2X 2, X4 18X2 24, X3 9, X3 X2 X 1, X4 1, X4 4. -
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 -
4 L-series Γ-function and Mellin transform Recall: Γ(s) = ...
https://www.dpmms.cam.ac.uk/~ajs1005/modular/2015-16/notes-2016-3.pdf26 Feb 2016: at least formally). 24. Example: let f(τ) =. n=1 eπin2τ. Then. -
A 2-adic automorphy lifting theorem for unitary groups over ...
https://www.dpmms.cam.ac.uk/~jat58/p_equals_2.pdf16 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
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