Higher-Order Generalizations of Stability and Arithmetic Regularity

Higher-Order Generalizations of Stability and Arithmetic Regularity

Fields Institute via YouTube Direct link

Arithmetic Setting

12 of 16

12 of 16

Arithmetic Setting

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Classroom Contents

Higher-Order Generalizations of Stability and Arithmetic Regularity

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  1. 1 Intro
  2. 2 What is a regularity lemma?
  3. 3 Regularity in higher arities
  4. 4 What is stability in this context?
  5. 5 Stable hereditary graph properties
  6. 6 Characterization of stability
  7. 7 3-graphs: some definitions
  8. 8 Regularity for 3-graphs
  9. 9 Ways to constrain the irregular triads
  10. 10 Problems
  11. 11 Characterization of Linear Error
  12. 12 Arithmetic Setting
  13. 13 Quadratic factors
  14. 14 The structure of NFOP sets
  15. 15 Tools
  16. 16 Further Directions

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