Introduction to Soergel Bimodules
portes grátis
Introduction to Soergel Bimodules
Makisumi, Shotaro; Elias, Ben; Williamson, Geordie; Thiel, Ulrich
Springer Nature Switzerland AG
09/2021
588
Mole
Inglês
9783030488284
15 a 20 dias
1091
Descrição não disponível.
- 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.
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Soergel bimodules;Representation theory;Kazhdan-Lusztig conjecture;Kazhdan-Lusztig polynomials;Higher representation theory
- 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.
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