E-Book, Englisch, Band 5, 588 Seiten, eBook
Reihe: RSME Springer Series
ISBN: 978-3-030-48826-0
Verlag: Springer International Publishing
Format: PDF
Kopierschutz: Wasserzeichen (»Systemvoraussetzungen)
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Weitere Infos & Material
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Part I The Classical Theory of Soergel Bimodules.
- How to Think About Coxeter Groups. - Reflection Groups and Coxeter Groups. - The Hecke Algebra and Kazhdan–Lusztig Polynomials. - Soergel Bimodules. - The “Classical” Theory of Soergel Bimodules. - Sheaves on Moment Graphs. -
Part II Diagrammatic Hecke Category.
- How to Draw Monoidal Categories. - Frobenius Extensions and the One-Color Calculus. - The Dihedral Cathedral. - Generators and Relations for Bott–Samelson Bimodules and the Double Leaves Basis. - The Soergel Categorification Theorem. - How to Draw Soergel Bimodules. -
Part III Historical Context: Category O and the Kazhdan–Lusztig Conjectures.
- Category O and the Kazhdan–Lusztig Conjectures. - Lightning Introduction to Category O. - Soergel’s V Functor and the Kazhdan–Lusztig Conjecture. - Lightning Introduction to Perverse Sheaves. -
Part IV The Hodge Theory of Soergel Bimodules
- Hodge Theory and Lefschetz Linear Algebra. - The Hodge Theory of Soergel Bimodules. - Rouquier Complexes and Homological Algebra. - Proof of the Hard Lefschetz Theorem. -
Part V Special Topics.
- Connections to Link Invariants. - Cells and Representations of the Hecke Algebra in Type A. - Categorical Diagonalization. - Singular Soergel Bimodules and Their Diagrammatics. - Koszul Duality I. - Koszul Duality II. - The p-Canonical Basis.