Geometric methods in representation theory. II
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | Livre papier |
| اللغة: | Anglais |
| منشور في: |
Paris :
Société mathématique de France
DL 2013.
|
| سلاسل: | Séminaires & congrès : Collection SMF
nů4-II |
| الموضوعات: | |
| ملاحظة: |
Ce second volume rassemble une partie des textes issus de l'école d'été Méthodes géométriques en théorie des représentations (Grenoble, 16 juin - 4 juillet 2008). Il s'agit de versions élargies des notes du cours de Olivier Schiffmann, et de dix articles de recherche ou d'exposition Textes en anglais, résumés en anglais et français |
| Autres localisations: | Voir dans le Sudoc |
| Variante du titre: | Méthodes géométriques en théorie des représentations, II |
جدول المحتويات:
- P. vii
- Abstracts
- P. xi
- Résumés des articles
- P. xv
- Preface
- P. xvii
- Préface
- P. 1
- Lectures on Hall algebras / Olivier Schiffmann
- P. 1
- Introduction
- P. 5
- 1. Lecture 1
- P. 23
- 2. Lecture 2
- P. 34
- 3. Lecture 3
- P. 58
- 4. Lecture 4
- P. 96
- 5. Lecture 5
- P. 114
- Appendix A
- P. 136
- References
- P. 143
- Lectures on canonical and crystal bases of Hall algebras / Olivier Schiffmann
- P. 143
- Introduction
- P. 148
- 1. Lecture 1
- P. 166
- 2. Lecture 2
- P. 187
- 3. Lecture 3
- P. 213
- 4. Lecture 4
- P. 234
- 5. Lecture 5
- P. 251
- 6. Windows
- P. 255
- References
- P. 261
- Cluster categories, m-cluster categories and diagonals in polygons / Karin Baur
- P. 261
- Introduction
- P. 262
- 1. Cluster algebras and cluster categories
- P. 267
- 2. Polygons and diagonals
- P. 269
- 3. Powers of translation quivers
- P. 272
- References
- P. 275
- On simplicity and stability of the tangent bundle of rational homogeneous varieties / Ada Boralevi
- P. 275
- 1. Introduction
- P. 277
- 2. Preliminaries
- P. 278
- 3. The quiver QG/P
- P. 283
- 4. Simplicity
- P. 286
- 5. Stability
- P. 293
- 6. Moduli and stability
- P. 296
- References
- P. 299
- Intersection theory on punctual Hilbert schemes and graded Hilbert schemes / Laurent Evain
- P. 299
- Introduction
- P. 300
- 1. Equivariant intersection theory
- P. 303
- 2. Iarrobino varieties and graded Hilbert scheme
- P. 305
- 3. Geometry of the fixed locus
- P. 310
- 4. Description of the Chow ring
- P. 311
- 5. Graded Hilbert schemes revisited
- P. 313
- References
- P. 315
- Perverse sheaves and modular representation theory / Daniel Juteau, Carl Mautner and Geordie Williamson
- P. 315
- Introduction
- P. 318
- 1. Motivation
- P. 330
- 2. Perverse sheaves
- P. 338
- 3. Some stalks in nilpotent cones
- P. 349
- References
- P. 353
- On the structure of the category (...) for W-algebras / Ivan Losev
- P. 353
- Introduction
- P. 354
- 1. W-algebras
- P. 357
- 2. Category (...) for a W-algebra
- P. 360
- 3. Generalized Whittaker modules
- P. 362
- 4. Proof of the main theorem
- P. 368
- 5. Applications
- P. 369
- References
- P. 371
- Examples for exceptional sequences of invertible sheaves on rational surfaces / Markus Perling
- P. 371
- 1. Introduction
- P. 372
- 2. Exceptional sequences and toric systems
- P. 375
- 3. Examples of toric systems and standard augmentations
- P. 381
- 4. A toric example and counterexample
- P. 383
- 5. Cyclic strongly exceptional sequences
- P. 386
- 6. Some noncommutative resolutions of singularities
- P. 388
- 7. Commutative and Non-commutative deformations
- P. 391
- References
- P. 393
- Orthogonal and symplectic bundles on curves and quiver representations / Olivier Serman
- P. 393
- Introduction
- P. 395
- 1. The moduli spaces MG
- P. 401
- 2. Orthogonal and symplectic bundles
- P. 405
- 3. Differential study of the forgetful morphism and quiver representations
- P. 415
- 4. Singular locus of MSOr and MSp2r
- P. 417
- References
- P. 419
- Some remarks on Nakajima's quiver varieties of type A / D. A. Shmelkin
- P. 419
- Introduction
- P. 420
- 1. Kraft-Procesi setup and Nakajima's Theorem 7.2
- P. 422
- 2. Nakajima's Theorem 7.3
- P. 425
- 3. Nakajima's Theorem 7.2
- P. 427
- References
- P. 429
- A symplectic resolution for the binary tetrahedrol group / Manfred Lehn and Christoph Sorger
- P. 430
- 1. The binary tetrahedral group
- P. 433
- 2. The equivariant Hilbert scheme
- P. 435
- References
- P. 437
- Moduli of linear representations, symmetric products and the non commutative Hilbert scheme / Francesco Vaccarino
- P. 437
- Introduction
- P. 438
- Notations
- P. 439
- 1. Moduli of representations
- P. 441
- 2. Symmetric products and divided powers
- P. 451
- 3. The norm map
- P. 453
- 4. The non commutative Hilbert scheme
- P. 456
- 5. Morphisms
- P. 457
- References