Oded Regev: The Reverse Minkowski Theorem

Oded Regev: The Reverse Minkowski Theorem

International Mathematical Union via YouTube Direct link

Reverse Minkowski: Proof

11 of 16

11 of 16

Reverse Minkowski: Proof

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Classroom Contents

Oded Regev: The Reverse Minkowski Theorem

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  1. 1 Intro
  2. 2 Lattices
  3. 3 History
  4. 4 Determinant of a Lattice Determinant = volume per lattice point
  5. 5 Sphere Packing
  6. 6 Minkowski's Theorem
  7. 7 Converse?
  8. 8 Applications of Reverse Minkowski [DadushR16]
  9. 9 Mixing Time on Flat Tori
  10. 10 More Applications
  11. 11 Reverse Minkowski: Proof
  12. 12 Case 1: maximum on boundary
  13. 13 Case 2: maximum in interior
  14. 14 Bounding Local Maxima
  15. 15 Summary
  16. 16 Main open question: Is Zn the "densest lattice"?

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