Quadratic Forms and Hermite Constant, Reduction Theory by Radhika Ganapathy

Quadratic Forms and Hermite Constant, Reduction Theory by Radhika Ganapathy

International Centre for Theoretical Sciences via YouTube Direct link

Overview of some of the techniques that go into the computation of the densest possible lattice packing

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2 of 12

Overview of some of the techniques that go into the computation of the densest possible lattice packing

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Quadratic Forms and Hermite Constant, Reduction Theory by Radhika Ganapathy

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  1. 1 Quadratic forms and Hermite constant, reduction theory
  2. 2 Overview of some of the techniques that go into the computation of the densest possible lattice packing
  3. 3 Dictionary between lattices and quadratic form
  4. 4 What the Hermite constant and extreme lattices?
  5. 5 Densest possible lattice packing corresponds to figuring out the critical quality forms
  6. 6 Goal of lattice reduction theory
  7. 7 Lagrange-Seeban-Menkouski reduction
  8. 8 Which allows the calculation of delta, star of s in for n less than or equal to 8
  9. 9 Perfect forms
  10. 10 About weekly eutactic
  11. 11 Proof that extreme forms and perfect
  12. 12 Voronois algorithm to obtain a complete list of perfect forms

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