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  2. Princeton_2023

    https://www.dpmms.cam.ac.uk/~rbdt2/NAGR/NAGR_09_Casals.pdf
    9 Nov 2023: Marc Casals. Universität Leipzig (Germany). Quantum effects inside black hole spacetimes. University College Dublin (Ireland). Centro Brasileiro de Pesquisas Físicas, CBPF (Brazil). PCTS workshop, Princeton, 11/10/2023. 3. Semiclassical gravity.
  3. 16 Jan 2024: Lemma 3.20 (Dolbeault Lemma). A ̄-closed (0, 1)-form is locally ̄-exact. ... Proof. The proofs of this and Lemma 3.20 may be found in Griffiths and Harris [6], p.
  4. 16 Jan 2024: 20. 3.2 The Ward Correspondence. 21. 4 Symmetry Reductions 234.1 The Ernst Equation. ... 20. where the γn’s are functions of λ,µ and ζ, γ+ contains only positive powers of ζ, γ contains onlynegative powers of ζ, and φ = γ0.
  5. Non-linear stability of black holes: a mathematical overview

    https://www.dpmms.cam.ac.uk/~rbdt2/NAGR/NAGR_04_Giorgi.pdf
    9 Nov 2023: 20 / 22. Gauge assumptions on Dfin. In order to finally improve the bootstrap assumptions for all the Γ̌ and Ř,we need gauge assumptions on Dfin as well.
  6. COMPUTING THE CASSELS-TATE PAIRINGON THE 2-SELMER GROUP OF A ...

    https://www.dpmms.cam.ac.uk/~taf1000/papers/genus2ctp.pdf
    14 Sep 2023: The 2-Selmergroup is. (20) S(2)(J/k) = ker. (H1(k,J [2]). v. H1(kv,J). ). ... The fake Selmer group is S(2)fake(J/k) = S(2)(J/k)/〈c〉. The analogue of (20) is.
  7. 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
  8. 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.
  9. 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,.
  10. 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.
  11. 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.

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