These lectures covered primarily the following four papers:
- Multi-way spectral partitioning and higher-order Cheeger inequalities
- Subexponential Algorithms for Unique Games and Related Problems
- Approximating the Expansion Profile and Almost Optimal Local Graph Clustering
- Finding Small Sparse Cuts Locally by Random Walk
I will post comprehensive lecture notes soon. We only used the subspace enumeration algorithm from (2) and the bulk of our analysis used the Lovasz-Siminovits-style arguments of (3) (see also (4)).