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  2. Diffeomorphisms of discs

    https://www.dpmms.cam.ac.uk/~or257/slides/ICM2022.pdf
    12 Jul 2022: π(BDiff(D2n))Q. as completely as possible. Theorem. [Kupers–R-W ’20 ’21]. Let 2n 6. ... πi(BDiff(D2n1))Q = Ki1(Z)Q. {Q i 2n 2 mod 4, i 2n 20 else.
  3. Topics in Analysis T. W. Körner August 11, 2022 ...

    https://www.dpmms.cam.ac.uk/~twk10/Topic.pdf
    12 Aug 2022: 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.
  4. Proofs for some results inTopics in Analysis T. W. ...

    https://www.dpmms.cam.ac.uk/~twk10/Caesar.pdf
    12 Aug 2022: If |an1| n/2,then. P(t) = an1tn1 Q(t). 20. where Q(t) =n. ... Proof of Example 11.20. Consider the map Tn given by. Tn(z) = (2n z) exp(2niπ).
  5. Topics in Analysis T. W. Körner October 4, 2022 ...

    https://www.dpmms.cam.ac.uk/study/II/TopicsinAnalysis/2022-2023/Topic.pdf
    12 Dec 2022: 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.
  6. REPRESENTATION THEORY SIMON WADSLEY Lecture 1 1. Introduction…

    https://www.dpmms.cam.ac.uk/~sjw47/2021RepTh.pdf
    6 Jul 2022: Example. ρ: Z/2 GL2(R); 1 7(1 20 1. )defines a representation (check). ... 20 SIMON WADSLEY. But if we take V to be the regular representation CG then.
  7. 30 Mar 2022: G. 20. 3.5 Regular nilpotent elements in V. 20. 3.6 Kostant sections. ... 20. 3.7 A family of curves. 21. 3.8 Universal centralisers. 22.
  8. Partial Solutions for Exercises inNaive Decision Making T. W. ...

    https://www.dpmms.cam.ac.uk/~twk10/Naiverep.pdf
    30 Aug 2022: 19 91Exercise 2.5.20 92Exercise 2.6.1 94Exercise 2.6.3 95Exercise 2.6.5 96Exercise 2.6.6 98Exercise 2.6.7 99Exercise 2.6.8 101Exercise ... 225Exercise 5.5.16 226Exercise 5.5.17 227Exercise 5.5.18 228Exercise 5.5.19 229Exercise 5.5.20 230Exercise 5.5.21
  9. REPRESENTATION THEORY SIMON WADSLEY Lecture 1 1. Introduction…

    https://www.dpmms.cam.ac.uk/~sjw47/RepTheoryM22.pdf
    29 Nov 2022: Example. ρ: Z/2 GL2(R); 1 7(1 20 1. )defines a representation (check). ... Thus χ(g) =λi =. λ1i but, of. course, the λ1i are the eigenvalues of g1.20.
  10. Current Developments in Mathematics Reciprocity and symmetric power…

    https://www.dpmms.cam.ac.uk/~jat58/cdm-template.pdf
    18 Nov 2022: Vanishing of the adjoint Bloch–Kato Selmer group 453.18. Seed points 483.20. ... 20 J. A. THORNE. likeness to the L-functions appearing in Serre’s criterion for the Sato–Tateconjecture to hold.
  11. Languages and Automata Thomas Forster December 9, 2022 2 ...

    https://www.dpmms.cam.ac.uk/~tef10/cam_only/languages-and-automata.pdf
    9 Dec 2022: click here to submit. 19. 20 CHAPTER 2. OPERATIONS ON MACHINES AND LANGUAGES. ... We established on page 20 that the intersection of two regularlanguages is regular.) This new language is just the language {akbak : n IN}that we saw on page 17.

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