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