63 What are the local Langlands conjectures nowadays, for connected reductive groups over a $p$-adic field? 2010-02-09T12:28:48.943

58 Open project: Let's compute the Fourier expansion of a non-solvable algebraic Maass form. 2010-05-05T14:30:38.560

55 Non-abelian class field theory and fundamental groups 2010-07-12T11:49:23.677

51 Galoisian sets of prime numbers 2010-01-14T11:28:07.103

39 Langlands in dimension 2: the Yoshida conjecture 2010-10-01T15:00:32.850

39 What is the status of Arthur's book? 2015-12-28T17:05:25.317

33 Induction and Coinduction of Representations 2009-10-21T00:16:02.713

32 Why is Class Field Theory the same as Langlands for GL_1? 2011-05-30T23:38:48.870

30 Is Langlands reciprocity somehow analogous to the wave-particle duality of quantum mechanics? 2013-12-03T20:16:39.210

28 Tools for the Langlands Program? 2010-02-15T21:32:29.510

28 How would Hilbert and Weber think about the Langlands programme? 2012-02-28T19:15:53.730

28 nonabelian reciprocity law 2017-03-02T22:18:38.023

27 What are the pillars of Langlands? 2011-03-19T03:14:35.997

27 Current Status on Langlands Program 2014-03-29T20:22:29.667

27 Number theory and physics 2015-11-22T18:35:34.153

26 Where stands functoriality in 2009? 2009-10-19T18:13:46.700

26 The fundamental lemma and the conjecture of Birch and Swinnerton-Dyer 2010-09-13T02:51:12.657

25 Mochizuki's "phenomena in number theory" outside the scope of Langlands 2015-09-25T15:08:31.770

23 Elementary Aspects of Galois Deformation 2010-03-01T19:51:41.343

23 Have we ever proved any non-solvable case of reciprocity without the Langlands program ? 2013-03-21T17:10:45.420

23 Reconciling Lusztig's results with the Langlands philosophy 2013-04-16T10:11:59.687

22 Any open Langlands Conjectures for GL_1? 2016-09-01T23:42:49.853

22 Is there a "Langlands philosophy" reason for the fact that the L-function of the Jacobi theta function is (almost) the Riemann zeta function? 2017-03-26T07:48:09.160

21 What is the precise relationship between Langlands and Tannakian formalism? 2011-07-31T17:38:37.620

20 What is the current status of the function fields Langlands conjectures? 2010-01-03T10:55:19.087

20 Geometric construction of depth zero local Langlands correspondence 2011-05-06T18:01:36.640

20 How badly can strong multiplicity one fail in the theory of automorphic representations? 2011-09-06T16:00:57.720

19 Décomposition des nombres premiers dans des extensions non abéliennes 2013-01-19T04:49:08.960

19 Understanding the "idea" behind Langlands 2013-01-19T13:02:09.350

18 Status of (Global) Langlands Conjecture for $GL_2$ over $\mathbb{Q}$ 2013-04-10T23:29:23.167

18 What is the $p$-adic Langlands conjecture for $\mathbf{GL}_1$? 2016-09-03T10:50:39.147

17 units in distinct division algebras over number fields---are they definitely not isomorphic as abstract groups? 2010-06-16T10:03:24.457

17 Uniqueness of local Langlands correspondence for connected reductive groups over real/complex field. 2010-07-09T11:17:40.283

17 Are there any simple, interesting consequences to motivate the local Langlands correspondence? 2014-06-14T14:51:43.267

17 What do Hecke eigensheaves actually look like? 2016-04-20T06:58:16.457

16 To what extent are modular parametrizations expected to generalize? 2015-09-07T08:36:00.910

15 Weil group, Weil-Deligne group scheme and conjectural Langlands group 2010-02-28T03:42:00.747

15 Galois representations attached to Maass form 2012-02-29T11:27:54.007

15 The simplest even Artin representations of degree 2 and the corresponding Maaß forms 2012-05-29T09:49:34.423

15 Funktorialität in der Theorie der automorphen Formen 2012-07-06T03:24:06.320

15 What is the Twisted Trace Formula? 2013-07-22T22:28:22.737

15 References for Langlands classification 2017-11-02T13:38:52.960

14 Characterizing the Local Langlands Correspondence 2010-05-12T12:00:46.800

14 Quaternary quadratic forms and Elliptic curves via Langlands? 2010-07-22T15:38:49.917

14 Galoisian sets and the Langlands programme 2010-07-24T12:09:43.920

14 L-functions and higher-dimensional Eichler-Shimura relation 2010-12-20T22:17:28.880

14 local Langlands and the Jacquet module 2011-03-23T09:44:17.477

14 New Geometric Methods in Number Theory and Automorphic Forms 2013-04-04T05:05:14.787

14 What's the status of Arthur's announced classification for GSp(4)? 2014-04-03T18:15:17.817

14 Explicit Chebotarev and Langlands - irreducibility of X^5-X-1 mod primes 2015-08-10T13:40:59.793

14 Monstrous Langlands-McKay or what is bijection between conjugacy classes and irreducible representation for sporadic simple groups? 2017-05-30T16:02:37.383

13 What is the "reason" for modularity results? 2011-09-13T17:18:54.667

13 What is the relation between L. Lafforgue and Frenkel-Gaitsgory-Vilonen results on Langlands correspondence ? 2012-01-27T19:16:16.860

13 The status of automorphic induction 2013-12-18T18:52:39.297

13 Local Langlands for $GL(2,\mathbf{C})$ and reducible principal series 2014-03-21T06:47:32.270

13 Relation between Weil Conjecture and Langlands Program 2015-11-05T12:39:43.920

12 Kapranov's analogies 2009-11-22T12:04:35.127

12 What makes Langlands for n=2 easier than Langlands for n>2? 2011-09-03T23:32:20.917

12 Why doesn't functoriality immediately imply the modularity theorem? 2012-10-26T08:24:18.420

12 What is the intuition behind the definition of cuspidal representations? 2014-04-06T20:20:25.903

12 Is the adjoint L-function on GL(m) holomorphic? 2014-06-09T03:08:10.033

12 Propagation of modularity and the Artin conjecture 2015-10-15T06:54:58.393

11 The monodromy-weight-, Ramanujan-, Langlands-landscape 2009-12-09T15:24:29.540

11 Simple explicit example of local Jacquet-Langlands theorem for inner forms of GL(n), and consequences 2010-06-08T08:25:22.360

11 What is the strongest, most natural, conjectural form of Langlands? 2011-08-02T23:33:25.217

11 Insolvable number fields ramified only at one (small) prime 2011-10-18T05:17:48.750

11 Le Haut Commissariat qui surveille rigoureusement l'alignement de ses Grandes Pyramides 2013-09-21T06:05:14.497

11 Best record toward Selberg's eigenvalue conjecture? 2013-10-23T15:05:59.583

11 References for particular topics related to Langlands 2014-04-27T19:16:01.120

11 Langlands' original observation about Ramanujan conjecture 2014-06-04T21:32:15.683

11 Loss of cuspidality by Langlands tranfer 2017-06-13T07:44:21.060

11 What kind of non-cuspidal automorphic representation are not isobaric sums? 2017-07-15T20:10:59.807

10 Carayol via the trace formula 2011-06-04T15:03:59.300

10 Is endoscopy interesting in simply-laced cases? 2011-07-01T20:10:55.500

10 The first odd degree-2 Artin representation for which the Artin conjecture was proved 2012-05-22T04:21:34.987

10 Is there a theory of Maaß forms over finite fields ? 2012-06-14T09:08:10.877

10 Request for errata for Automorphic Forms on GL(2) 2013-02-15T22:35:06.570

10 Automorphic factorization of Dedekind zeta functions 2015-07-30T23:37:28.593

10 Does local Langlands functoriality preserve genericity? 2016-11-06T02:00:38.853

10 Bijection between conjugacy classes and irreducible representation of Weyl group = Langlands correspondence over "field with one element" 2017-05-28T20:10:50.930

9 P-adic local Langlands for non-unitary representations? 2010-04-26T16:07:09.400

9 Why is the simple trace formula a weaker tool than the Arthur trace formula? 2011-04-24T12:14:37.717

9 Is this a subcase of the fundamental lemma? 2011-11-24T10:22:25.613

9 Langlands program beyond CM fields? 2013-12-25T15:35:55.397

9 Where stands functoriality in 2017? 2017-08-12T14:03:28.903

8 Automorphic representations attached to abelian varieties 2010-07-12T18:43:33.973

8 questions on Deligne's letter to Piatetski-Shapiro 2011-02-25T10:00:08.970

8 How does the conjectural Langlands group fit into the Tannakian point of view? 2011-09-07T00:48:26.557

8 Consequences of the Langlands program 2011-10-16T04:57:27.100

8 standard zero free region of automorphic L-function on GL(N) 2014-06-03T03:08:51.347

8 Symmetric Fifth Power Lift of GL(2) Automorphic Form 2014-06-30T04:35:40.783

8 Lindelof Hypothesis implying Selberg Eigenvalue Conjecture? 2014-11-09T16:43:44.807

8 The proof of Kazhdan's density theorem (And does it hold over positive characteristic?) 2017-02-06T03:18:10.460

8 Residue of Eisenstein Series on GL(n) 2017-07-16T19:46:32.167

8 Connections between representations of $\operatorname{SL}_n$ and $\operatorname{GL}_n$ 2018-02-10T21:37:04.887

7 Semisimple Weil-Deligne representations 2011-03-26T01:13:30.303

7 Why do we see SU(2,R) in the Local automorphic Langlands group? 2011-04-04T16:13:00.460

7 What is the relation of the Kuznetsov-Bruggeman trace formula and the Selberg trace formula? 2011-07-07T12:39:05.997

7 What can we say about the Local Langlands Correspondence for GL_n without using Bernstein-Zelevinski? 2013-08-04T15:45:09.680