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1. The p-Canonical Basis

2. Koszul Duality II

3. Koszul Duality I

4. Rouquier Complexes and Homological Algebra

5. Connections to Link Invariants

6. Proof of the Hard Lefschetz Theorem

7. Cells and Representations of the Hecke Algebra in Type A

8. Categorical Diagonalization

9. Singular Soergel Bimodules and Their Diagrammatics

10. The Hodge Theory of Soergel Bimodules

11. Hodge Theory and Lefschetz Linear Algebra

12. Category and the Kazhdan–Lusztig Conjectures

13. Soergel’s Functor and the Kazhdan–Lusztig Conjecture

14. Lightning Introduction to Category

15. The Dihedral Cathedral

16. Lightning Introduction to Perverse Sheaves

17. How to Draw Monoidal Categories

18. How to Draw Soergel Bimodules

19. Frobenius Extensions and the One-Color Calculus

20. Generators and Relations for Bott–Samelson Bimodules and the Double Leaves Basis

21. The Soergel Categorification Theorem

22. Reflection Groups and Coxeter Groups

23. The Hecke Algebra and Kazhdan–Lusztig Polynomials

24. The 'Classical' Theory of Soergel Bimodules

25. Sheaves on Moment Graphs

26. Soergel Bimodules

27. How to Think About Coxeter Groups

28. Kazhdan–Lusztig Conjectures and Shadows of Hodge Theory

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