Gaitsgory's Central Sheaves Via the Diagrammatic Hecke Category

Ben Elias, University of Oregon, Eugene, Oregon

Chapters; 1. Introduction; 2. Affine and extended groups; 3. Extended Soergel bimodules and diagrammatics; 4. Rouquier complexes and Wakimoto complexes; 5. Pseudocomplexes and Gaussian elimination; 6. The standard Gaitsgory complex: $n=2,3,4$; 7. Elaborations and simplifications; 8. The standard Gaitsgory complex; 9. Longest elements and functorial twisting; 10. Preliminaries on descent sets; 11. Tensoring with the longest element: a thicker calculus; 12. Tensoring with the longest element: Gaussian elimination; 13. Left versus right; 14. The twisting isomorphism; A. Computations; B. Proofs related to extended diagrammatics