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  2. CONGRUENCES BETWEEN MODULAR FORMS JACK A. THORNE Abstract. We ...

    https://www.dpmms.cam.ac.uk/~jat58/congruences.pdf
    11 Jan 2024: CONGRUENCES BETWEEN MODULAR FORMS. JACK A. THORNE. Abstract. We survey the connections between modular forms and represen-. tations of Galois groups that are predicted by the Langlands programme. We. focus in particular on the applications of

  3. NUMBER FIELDS, LENT 2024 PÉTER P. VARJÚ Disclaimer,…

    https://www.dpmms.cam.ac.uk/~pv270/NumberFields.pdf
    8 Mar 2024: det(Tr(αiαj)) = det(σi(αj))2,. as required. Lemma 20. We have. disc(α1,. ,αd) = 0. ... 20 PÉTER P. VARJÚ. 5. Norms of ideals. Definition 48. Let K be a number field, and let I OK be a non-zeroideal.

  4. Topics in Analysis T. W. Körner October 25, 2023 ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2023-2024/Topic.pdf
    25 Oct 2023: 7Some other proofs are given in Exercises 20.6, 20.7 and 20.8. ... The proof is givenin Exercise 20.10 but is not part of the course.

  5. The density of integral quadratic forms having ak-dimensional totally …

    https://www.dpmms.cam.ac.uk/~taf1000/papers/isotropic-subspaces.pdf
    22 Jan 2024: We then apply [7, Lemmas 20 and 21] with U and Up as definedabove, S = and f,g Z[a11,a12,.

  6. Department of Pure Mathematics and Mathematical Statistics

    https://www.dpmms.cam.ac.uk/study/IB/LinearAlgebra/previous.html
    16 Oct 2023: Page last modified: Tuesday, 20-Nov-2018 11:17:05 GMT.

  7. HX1Lycée Louis le Grand 2015-2016 Physique Classe de Mathématiques ...

    https://www.dpmms.cam.ac.uk/~aptm3/docs/lecture-notes/Physique-Sup.pdf
    31 Aug 2023: 20. Chapitre 7Dipôles Linéaires Passifs en RégimeVariable. I Relations courant-tension en convention récepteur. ... G dB = 20 log |H|. Son déphasage φ est défini parφ = arg H.

  8. REPRESENTATION THEORY SIMON WADSLEY Contents Lecture 1 21.…

    https://www.dpmms.cam.ac.uk/~sjw47/2023Lectures.pdf
    29 Nov 2023: Example. ρ: C2 GL2(R); 1 7(1 20 1. )defines a representation (check). ... 20 SIMON WADSLEY. 4. Characters. Summary so far. We want to classify all representations of groups G.

  9. MAT 449: Representation theory These lecture notes are in ...

    https://www.dpmms.cam.ac.uk/~jcsl5/notes.pdf
    24 Oct 2023: Lemma 6.20. 1. If χ is an (irreducible) character, then so is χ̄. ... 20. 6.4 First projection formulaLecture 6starts here. We will now work our way towards proving Theorem 6.7.

  10. Cubical small-cancellation theory and large-dimensional hyperbolic…

    https://www.dpmms.cam.ac.uk/~mcr59/thesis.pdf
    22 Aug 2023: Theorem 2.1.20 ([Hag08]). If ϕ : Y X is a local isometry, then:. ... Proof. One direction follows from Theorem 2.1.36, together with the π1-injectivity of localisometries stated in Theorem 2.1.20.

  11. EQUIVARIANT LINE BUNDLES WITH CONNECTION ON THE p-ADIC UPPER ...

    https://www.dpmms.cam.ac.uk/~sjw47/Drinfeld-I.pdf
    14 Sep 2023: c) Choose an arbitrary point x X. Since X is finite, M(X,Z) is isomorphic tothe (co)induced module IndGxG Z in the sense of [20, Chapter I, 6], where ... Thus. 20 KONSTANTIN ARDAKOV AND SIMON WADSLEY. by Proposition 3.1.4 again we can deduce that [L ] =

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