High Dimensional Expanders

High Dimensional Expanders

Hausdorff Center for Mathematics via YouTube Direct link

Expander Graphs

11 of 19

11 of 19

Expander Graphs

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Classroom Contents

High Dimensional Expanders

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  1. 1 Intro
  2. 2 Graphical Spectral Gap
  3. 3 High Dimensional Expansion
  4. 4 Simplicial Cohomology
  5. 5 Expansion of a Complex
  6. 6 A Model of Random Complexes
  7. 7 Homological Connectivity of Random Complexes
  8. 8 Weighted Expansion
  9. 9 The Topological Overlap Property
  10. 10 Topological Overlap and Expansion
  11. 11 Expander Graphs
  12. 12 Expander Complexes
  13. 13 The Complete 3-Partite Complex
  14. 14 Latin Square Complexes
  15. 15 Random Latin Squares Complexes
  16. 16 Large Deviations for Latin Squares
  17. 17 Harmonic Cochains
  18. 18 Eigenvalues and Cohomology
  19. 19 Flag Complexes

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