Tag: automorphic-forms

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

39 How is representation theory used in modular/automorphic forms? 2010-08-15T03:42:34.177

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

36 What is the difference between an automorphic form and a modular form? 2013-03-17T05:42:38.363

35 Are there motives which do not, or should not, show up in the cohomology of any Shimura variety? 2010-09-21T10:52:12.557

33 What can topological modular forms do for number theory? 2015-05-28T02:40:33.313

32 Underlying idea for (automorphic) L-function? 2014-11-23T12:24:31.500

29 What motivations for automorphic forms? 2018-01-15T14:34:51.067

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

26 How can one understand the Eisenstein series E2 in terms of automorphic representation? 2017-04-20T09:03:14.883

21 What is the matter with Hecke operators? 2017-10-17T19:51:04.947

20 Overview of automorphic representations for $SL(2)/{\mathbf{Q}}$? 2009-11-28T16:10:26.083

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

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

19 Meromorphic continuation of Eisenstein series 2011-03-14T05:59:29.717

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

18 Questions about the Bernstein center of a $p$-adic reductive group 2012-04-26T15:08:59.990

18 Is a reductive adelic group a Type I group? 2012-12-13T05:12:03.507

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

17 Do we care about multiple zeta functions? 2016-02-02T17:00:52.233

16 Non-vanishing of p-adic L-functions 2011-04-02T21:03:27.460

16 Why isn't meromorphic continuation enough for converse theorems? 2011-04-29T10:45:41.403

16 Are there Maass forms where the expected Galois representation is $\ell$-adic? 2012-06-05T22:22:31.050

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

16 what is the equivalent of the Euler constant for higher dimensional lattices 2015-12-14T22:56:28.957

15 Where do the real analytic Eisenstein series live? 2011-10-24T16:26:35.950

15 Why only half-integral weight automorphic forms? 2012-11-20T15:21:17.140

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

15 Even Galois representations "mod p" 2015-11-12T04:44:19.200

14 Constructing coherent sheaves on Shimura varieties. 2010-05-20T12:14:27.817

14 Nonvanishing of central L-values of quadratic twists? 2011-02-24T17:51:17.220

14 There is no lattice in PSL(2,R) which contains PSL(2,Z) properly? 2011-04-05T07:08:37.923

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 Definition of discrete spectrum and continuous and basic properties 2016-05-01T13:21:43.230

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

13 Elliptic curves and supercuspidal representations of conductor $p^2$ 2015-05-08T16:12:04.623

12 Double coset spaces of reductive groups and integral representations of L-functions 2011-03-30T06:24:42.813

12 Which Shimura varieties are known to be automorphic? 2011-09-16T19:12:40.837

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

12 Most understandable notes on Jacquet-Langlands? 2013-02-15T23:16:33.600

12 A frustrating cohomology class on the moduli of abelian surfaces 2013-08-30T07:46:39.750

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

12 Which L-functions are not "Langlands-Shahidi L-functions"? 2014-07-04T23:17:53.633

12 Hecke-module structure implicit in definition of automorphic forms in Borel-Jacquet's Corvallis article 2014-07-22T20:30:07.657

12 Primer on Eisenstein series 2015-05-07T12:20:36.240

12 Non-algebraic Hecke characters 2015-10-25T23:53:01.973

12 Modularity of endomorphism algebras 2017-01-23T21:03:20.000

12 What's the point of a Whittaker model? 2017-02-08T03:15:27.053

11 p-adic L-functions 2010-04-23T05:21:41.143

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

11 modular form Fourier coefficients and associated automorphic representation 2011-10-24T05:01:53.650

11 Growth of smallest closed geodesic in congruence subgroups? 2012-01-14T11:43:29.023

11 Reference for: CM Hilbert Modular forms arise from Hecke characters 2012-05-15T14:50:28.610

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

11 Is the universal elliptic curve $\overline M_{1,2}$ a toric stack? 2013-12-04T18:09:05.723

11 What can the theory of automorphic forms for $SL(n,\mathbb{Z})$ say about $SL(n,\mathbb{Z})$? 2014-03-16T12:09:09.273

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

11 Holomorphic cusp forms and cohomology of GL(2,Z) 2014-09-26T20:52:09.013

11 Weyl law for Maass forms with nontrivial character 2014-10-13T16:26:05.427

11 Euler Subgroups and Automorphic L-functions 2015-02-06T16:15:29.557

11 Are Hecke eigenvalues on the cohomology of the Newton polygon strata automorphic? 2015-10-31T20:44:51.613

11 No Siegel-Landau zeros for $\mathrm{GL}(n)$ 2015-11-17T15:20:31.680

11 Philosophy behind cohomological representations 2016-04-08T06:21:39.813

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

10 Is there a canonical notion of "mod-l automorphic representation"? 2010-03-09T15:56:19.113

10 Automorphic forms on GL(3) 2010-10-24T12:55:42.480

10 Automorphic forms and Galois representations over imaginary quadratic fields: generalizing Taylor's theorem? 2011-01-02T22:41:26.073

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

10 central/critical/special values of L-functions terminology 2013-04-17T14:06:02.953

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

10 Automorphic representations whose local factors are tempered almost everywhere 2016-01-31T19:44:52.383

10 A question on representation theory of p-adic groups 2017-09-24T06:18:23.127

10 Fourier Transforms of Convolutions 2018-01-07T09:41:37.107

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

9 What is the non-motivic motivation behind automorphic representations? 2011-09-17T23:58:35.023

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

9 Atkin–Lehner operator for GL(3)? 2012-03-25T22:36:13.500

9 Sato-Tate measure for GL(3) Automorphic forms 2012-07-07T15:14:34.533

9 Borel's Paris Lectures 2013-04-29T11:43:37.007

9 Irreducibility of Galois representations attached to unitary groups 2014-05-13T17:58:53.990

9 Geometric interpretation of Cusps for general groups? 2015-02-25T17:37:42.447

9 Matsushima-Murakami Isomorphism for $L^2$-cohomology 2015-10-30T21:00:07.560

9 Is there a known construction of Cuspidal representations of GL(3) isomorphic to their own twist? 2016-10-24T14:54:24.980

9 Clozel's unpublished manuscript 2017-01-03T15:41:02.360

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

9 Exceptional primes 2017-09-05T12:29:17.553

9 How does Riemann hypothesis implies estimates? 2017-10-28T15:13:13.037

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

8 Finite dimensional automorphic representations of a definite quaternion with prime discriminant and Hecke action 2010-09-26T12:58:30.767

8 Local to Global principle for reductive groups 2010-10-28T10:41:21.953

8 Double coset decomposition of symplectic group over a quadratic extension 2012-03-22T17:26:05.667

8 Modularity of higher dimensional abelian varieties 2012-10-04T19:03:53.503

8 Explicit examples of algebraic Hecke characters with infinite image? 2012-11-08T21:16:38.363

8 Using Eichler-Selberg trace formula to compute dimension of modular forms? 2014-01-07T03:16:34.430

8 Adelization of modular forms: What measure on $L^2(G_\mathbb{Q}Z_{\mathbb{R}}\backslash G_{\mathbb{A}})$? 2014-03-06T17:15:34.630

8 Phillips-Sarnak conjecture in higher dimension 2014-03-09T20:13:25.053

8 Algebraic construction of the modular representation of $\mathrm{SL}_2(\hat{\mathbf Z})$ 2014-04-08T16:35:35.733