Introduction to cluster algebras and varieties. 2022

1. Prelimiary examples Notes.
   
2. Seeds. Mutations. Laurent phenomenon Notes).
   
3. Total positivity. Notes.
4. Double Bruhat cells. X coordinates Notes.
5. Cluster Poisson structure. Poisson Lie groups Notes.
6. Cluster Poisson structure. Integrable systems Notes.
7. Upper cluster algebra. Coordinate rings on double Bruhat cells.
8. Starfish Lemma. Grassmanians Notes.
9. Plabic graphs. Grassmanians. Notes.
10. Poisson structures on Grassmanians. Notes.
11. Geometric approach to cluster varieties. Notes.
12. Cluster structure on the space of framed local systems. PGL_2 case Notes.
13. Pinnings Notes.
14. Cluster structure on the space of framed local systems. PGL_m case Notes.

Problems.