Primes and Knots - Akshay Venkatesh

Primes and Knots - Akshay Venkatesh

Institute for Advanced Study via YouTube Direct link

Intro

1 of 13

1 of 13

Intro

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Primes and Knots - Akshay Venkatesh

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  1. 1 Intro
  2. 2 The fundamental metaphor
  3. 3 Producing many knots
  4. 4 Prime numbers and the factorization problem
  5. 5 Some examples
  6. 6 Statistics of prime factors
  7. 7 Producing tangles (collections of knots)
  8. 8 Linking of knots
  9. 9 Modular arithmetic
  10. 10 The analogy between square roots and linking
  11. 11 The law of quadratic reciprocity
  12. 12 Back to statistics
  13. 13 Recent developments

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