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  2. III Geometric group theory – Example Sheet 1 Lent ...

    https://www.dpmms.cam.ac.uk/~hjrw2/2024%20GGT%20Example%20Sheet%201.pdf
    4 Jun 2024: to both A and B. 6. Let G = ⟨A R⟩, with A a finite generating set. ... π1(Σ2) ⟨a1,a2,b1,b2 [a1,b1][a2,b2]⟩ ,. and show that there is a homomorphism f π1(Σ2) Z/2Z with f(ai) = f(bi) = 1.
  3. Stable commutator length, surfaces, and rationality

    https://www.dpmms.cam.ac.uk/~aptm3/docs/maths/2024-Poster-SCLSurfacesRationality.pdf
    26 Jan 2024: Algebraic definition. Given w G, set. clG (w ) := inf{k 1 | a1, b1,. , ... a2. b2. ak. bk. Example. Given a, b G,. sclG ([a, b]) 12χ.
  4. Example sheet 1 Example sheet 1 Problem 1. Show ...

    https://www.dpmms.cam.ac.uk/study/IB/Optimization/2022-2023/example1_easter23.pdf
    17 Jul 2023: Given constants b1, b2 such that b1 eb2 0 use the Lagrangian method to. ... Hint: There will be two cases to check depending the constants b1 and b2.].
  5. NUMBER FIELDS, LENT 2024 PÉTER P. VARJÚ Disclaimer,…

    https://www.dpmms.cam.ac.uk/~pv270/NumberFields.pdf
    8 Mar 2024: Indeed, the minimalpolynomial of a/b with gcd(a,b) = 1 is xa/b. ... OK =. {a b 1 m. 1/2. 2: a,b Z. }if m 1 mod 4.
  6. GLOBAL SECTIONS OF EQUIVARIANT LINE BUNDLES ON THE p-ADIC ...

    https://www.dpmms.cam.ac.uk/~sjw47/Drinfeld.pdf
    20 Dec 2023: Chooseconstants M,D > 0 such that |θ(a)| 6 M|a| for all a A and |b1b2| 6 D|b1||b2|for all b1,b2 B; then for all a A ... 0|b|/r and choose constants M,D > 0 such that |f(a)|6. M|a| for all a A and |b1b2|6 D|b1||b2| for all b1,b2
  7. Part II Logic and Set Theory András Zsák Lent ...

    https://www.dpmms.cam.ac.uk/~az10000/2024-lent-partii-logic-and-set-notes.pdf
    29 May 2024: We partiallyorder X by (B1,R1) 6 (B2,R2) if and only if B2 extends B1 (i.e., B1 B2,R1 = R2 (B1 B1) and B1 is an initial segment of ... B2).Note that X 6= as (,) X.

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