32 Microlocal geometry - A theorem of Verdier 2011-03-09T15:03:40.450

20 Why is the decomposition theorem awesome? 2009-12-09T02:10:15.623

19 Examples for Decomposition Theorem 2009-10-22T21:59:48.107

19 Applications of Microlocal Analysis? 2017-01-04T16:04:42.630

17 Constructible derived category and fundamental category 2013-05-27T09:18:26.240

16 What exactly does the weight filtration in Hodge theory have to do with the Weil conjectures? 2011-08-13T14:56:48.373

15 What is the purpose of section 3 of BBD? 2013-04-11T19:05:48.067

14 Morphisms between Verma modules 2012-12-14T04:59:57.647

14 Non semi-simple monodromy in an algebraic family 2016-02-19T16:10:49.713

13 Gabber's original proof of his purity theorem 2016-02-16T10:57:51.403

13 IC sheaf of certain explicit variety 2016-06-06T19:14:08.297

13 "Correct" definition of stratified spaces and reference for constructible sheaves? 2017-01-02T10:24:12.537

11 When does a perverse sheaf occur in the decomposition theorem? 2015-02-27T17:26:42.663

10 How to do Computations Using the Decomposition Theorem for Perverse Sheaves 2009-10-21T15:10:33.217

10 What's known about the stalks of Lusztig's perverse sheaves on quiver varieties? 2010-05-09T01:21:31.433

10 Bad behaviour of perverse sheaves over 'general' bases? 2011-02-17T22:45:39.427

10 On the derived category of constructible étale sheaves 2012-12-05T02:44:54.700

10 Examples of calculating perverse sheaves on algebraic varieties with easy stratification 2016-03-02T10:01:52.780

9 A nice explanation of what is a smooth (l-adic) sheaf? 2010-07-19T12:31:37.930

9 Crystalline analogue of perverse sheaves 2011-08-31T01:14:47.490

8 What do the local systems in Lusztig's perverse sheaves on quiver varieties look like? 2010-02-06T05:38:13.550

8 Gluing perverse sheaves? 2010-06-02T20:36:43.827

8 What's an example of an intersection cohomology sheaf whose stalks are pure but not pointwise pure? 2010-07-02T14:14:17.317

8 How does one interpret the naive t-structure on constructible sheaves as a t-structure on D-modules? 2010-10-06T15:54:19.040

8 The conjectural relation between mixed motivic sheaves and the perverse t-structure. 2010-12-18T13:00:18.080

8 l-adic vs complex Perverse Sheaves 2011-10-18T12:27:18.320

8 Restriction to Levi Subgroups and the Affine Grassmannian 2013-09-20T10:03:46.850

8 DG enhancements of $\ell$-adic derived categories 2014-05-30T17:48:07.607

8 What is an example of a non-mixed $\ell$-adic sheaf? 2016-05-31T12:56:25.550

8 On the definition of triangulated categories 2016-12-13T08:09:23.037

7 Which statements in section 5 of BBD will fail if we consider $\mathbb{Q}_l$-adic sheaves there? 2010-07-10T03:44:53.837

7 Computation of vanishing cycles 2010-09-08T23:54:02.693

7 Relation between holonomic D-modules and perverse sheaves 2010-12-09T11:42:20.403

7 Is it possible to define a perverse $t$-structure for a certain triangulated category of sheaves of spectra? 2012-03-01T11:32:30.233

7 Applications for intersection (co)homology and for the Decomposition Theorem for students? 2013-02-16T16:24:07.557

7 Perverse sheaves for easy stratifications 2013-06-17T09:31:13.610

7 Iterated Milnor fibrations and Thom's a_f condition 2013-08-22T00:45:50.913

6 Localization of vanishing cycles 2010-02-22T19:26:06.763

6 Blow ups and Characteristic varieties 2011-02-06T04:42:48.740

6 Parabolic convolution of perverse sheaves in terms of the Hecke algebra 2011-08-30T00:21:40.663

6 Geometric interpretation of translation through the wall 2012-12-20T11:25:06.490

6 Nice algebraic approximations of classifying spaces 2013-02-08T01:22:08.763

6 Are there perverse sheaves on abelian varieties with small Euler characteristic? 2014-04-01T02:17:30.920

6 $\ell$-adic monodromy theorems (over $\mathbb{C}$) 2014-09-05T12:17:22.233

6 What's the relationship between the different versions of the BBD decomposition theorem? 2015-07-30T00:56:03.000

6 Toric Degenerations and Nearby Cycles 2015-09-16T22:30:55.720

6 Switching left and right adjoints in recollement situations 2016-02-22T18:30:35.840

6 Counterexamples to gluing complexes of sheaves 2017-11-28T05:27:22.677

5 In what setting does one usually define mixed sheaves and weights for them? 2010-07-09T18:02:03.803

5 Easy special cases of the decomposition theorem? 2010-09-03T10:06:54.903

5 Intersection Cohomology of Coordinate Hyperplanes 2010-11-27T13:06:48.407

5 Reference for two facts about perverse sheaves on G/B 2010-12-16T19:25:46.200

5 Do all the main properties of constructible and perverse sheaves (in an 'arithmetic' situation) follow from results of Gabber? 2011-03-11T12:34:39.017

5 References on semismall maps 2011-08-14T15:31:17.027

5 About an argument in `Koszul duality patterns in representation theory' by Beilinson-Ginzburg-Soergel. 2012-09-30T20:25:06.250

5 Mixed structures on Hom spaces induced by mixed sheaves 2012-10-06T06:38:35.753

5 Geometric intuition behind perverse coherent sheaves? 2012-11-26T22:56:17.080

5 Deligne-Lusztig and Character sheaves 2015-03-05T16:37:20.710

5 Characteristic Cycles and Nearby Cycles 2015-07-26T02:27:33.850

5 Springer fibers and Weyl group 2016-11-18T06:56:19.380

5 Base change and the octahedron axiom 2017-03-13T22:41:25.980

5 A property of nearby cycles functor 2017-03-14T17:37:52.173

4 Hypercube decomposition of perverse sheaves 2009-11-23T17:08:34.740

4 Morphisms between pure complexes of sheaves 2010-04-27T08:20:01.100

4 Functoriality properties of the perverse $t$-structure for torsion (constructible complexes of) sheaves 2011-09-23T04:55:52.740

4 Stalks of intersection cohomology complexes of Schubert varieties and Bruhat order 2013-11-02T16:23:46.920

4 Smooth mixed hodge modules - representations of fundamental group? 2014-04-08T12:35:53.147

4 flat descent for perverse sheaves 2014-04-10T16:14:53.657

4 Relation between crystalline and perverse sheaves 2016-06-28T22:10:08.947

4 Computation of multiplicity of irreducible representation in some representation via geometric Satake correspondence 2017-08-26T17:52:55.140

3 Is there a 'classical' definition for the support of a perverse sheaves. 2011-02-03T19:49:47.637

3 Schubert varieties of flag variety , perverse sheaves 2011-11-07T07:23:44.687

3 Are Lusztig's perverse sheaves the only equivariant ones with nilpotent characteristic cycle? 2011-11-11T04:43:36.370

3 Geometric picture behind tilting sheaves 2011-11-30T12:20:49.323

3 How to glue perverse sheaves of abelian groups? 2012-06-14T10:31:00.047

3 Polarizable variations of (mixed) Hodge structures 2012-10-14T23:53:26.123

3 is this intersection complex a sheaf? 2013-03-22T08:42:45.430

3 what does the decomposition theorem say for a Lefschetz pencil? 2013-05-28T21:42:18.690

3 The associated graded of a mixed Hodge module 2013-10-05T21:10:25.697

3 A question on algebraic loop groops 2013-11-08T20:30:17.823

3 What sorts of weights for perverse sheaves were or can be computed? 2015-08-08T10:44:31.880

3 On the notion of conelike stratified (cs-) space 2016-07-28T12:43:46.840

3 Convolution of $\ell$-adic sheaves is commutative if the group is commutative 2017-11-03T09:20:40.330

2 Is there an easy proof of the fact that the intermediate image functor respects weights? 2011-02-06T13:54:17.680

2 Question regarding a statement in `A proof of Jantzen conjectures' 2012-09-04T04:00:38.590

2 A submodule of a constant D-module is constant 2013-03-04T14:50:47.873

2 Pullbacks of intermediate/middle extensions and Gabber's purity theorem 2013-03-06T13:49:06.193

2 Derived Push-Forward of Morphism of Perverse Sheaves and Translation Functors 2013-07-09T13:14:40.243

2 l-adic cohomology and perverse sheaves 2014-09-26T23:07:21.337

2 Example to show that the inverse image under a finite morphism is not t-exact with respect to the perverse t-structure 2014-12-11T04:49:57.427

2 Nearby cycle functor for a family of stable curves 2017-01-08T13:26:59.860

2 consequence of the definition of perverse sheaves 2017-12-10T10:27:20.507

2 Stability of mixed complexes under open embeddings 2018-02-06T18:00:14.820

1 intermediate/middle extension of perverse sheaves 2010-10-15T10:16:38.197

1 Which statement do people usually call the Decomposition Theorem, and what is the precise reference for it? 2011-02-02T01:28:40.990

1 Is it easy to define weights for $Q_l$-sheaves over finite type $Z[1/l]$-schemes? 2011-02-07T10:40:34.033

1 How can one bound 'the lower perverse degree' for a constant sheaf on a variety that is smooth in high codimension? 2012-03-02T12:40:19.410

1 Intermediate extension functor exact? 2012-10-02T09:38:00.750

1 Decomposing Semisimple Perverse Sheaves 2013-03-08T18:44:34.250