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9781470480868 Academic Inspection Copy

Gaitsgory's Central Sheaves Via the Diagrammatic Hecke Category

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
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
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