Prof Roger Plymen MA, DPhil (Oxon)

Emeritus Professor

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Publications

1 - 50 out of 77Page size: 50
  1. 2021
  2. Published

    Comparison of the depths on both sides of the local Langlands correspondence for Weil-restricted groups

    Plymen, R. & Aubert, A-M., 28 Dec 2021, In: Journal of Number Theory. 233 (2022), p. 24-58

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1016/j.jnt.2021.06.003
  3. 2020
  4. E-pub ahead of print

    Epsilon factors as algebraic characters on the smooth dual of $\mathrm{GL}_n$

    Plymen, R., 1 Sep 2020, (E-pub ahead of print) Proceedings of conference on Quantum Dynamics. Poland: Banach Center Publications, Vol. 120. p. 11-21

    Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

    DOI: 10.4064/bc120-1
  5. Published

    The Great Prime Number Race

    Plymen, R., 13 Aug 2020, Rhode Island: American Mathematical Society. 152 p. (Student Mathematical Library)

    Research output: Book/Report › Book › peer-review

  6. Published

    Morita equivalence for k-algebras

    Plymen, R., Aubert, A-M., Baum, P. & Solleveld, M., 2020, Proceedings of conference on Quantum Dynamics. Warsaw: Banach Center Publications, Vol. 120. p. 245 - 265 21 p. (Banach Center Publications).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

    DOI: 10.4064/bc120-16
  7. 2019
  8. Published

    Contribution to Celebratio Mathematica

    Aubert, A-M., Plymen, R. & Solleveld, M., 15 Nov 2019, 20 p. Mathematical Sciences Publishers.

    Research output: Other contribution › peer-review

  9. Published

    Smooth duals of inner forms of GL_n and SL_n

    Plymen, R., Baum, P., Aubert, A-M. & Solleveld, M., 1 May 2019, In: Documenta Mathematica. 24, p. 373-420

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.25537/dm.2019v24.373-420
  10. Published

    Stratified Langlands duality in the A_n tower

    Plymen, R., Niblo, G. & Wright, N., 2019, In: Journal of Noncommutative Geometry. 13, p. 193-225

    Research output: Contribution to journal › Article › peer-review

  11. 2018
  12. Published

    Poincare' duality and Langlands duality for extended affine Weyl groups

    Plymen, R., Niblo, G. & Wright, N., 2018, In: Annals of K-theory. 3, 3, p. 491-522

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.2140/akt.2018.3.491
  13. Published

    The Skewes Number

    Plymen, R., 2018, USA: American Mathematical Society. 76 p. (AMS Open Math Notes)

    Research output: Book/Report › Book › peer-review

  14. 2017
  15. Published

    Conjectures about p-adic groups and their non commutative geometry

    Plymen, R., Aubert, A-M., Baum, P. & Solleveld, M., 1 Jan 2017, In: Contemporary Mathematics. 691, p. 15-51

    Research output: Contribution to journal › Article › peer-review

  16. Published

    Functoriality and K-theory for GL_n(R)

    Plymen, R. & Mendes, S., 2017, In: Munster Journal of Mathematics. 10, p. 39-58

    Research output: Contribution to journal › Article › peer-review

  17. Published

    Hecke algebras for inner forms of p-adic special linear groups

    Plymen, R., Aubert, A-M., Baum, P. & Solleveld, M., 2017, In: Journal de l'Institut Mathématiques Jussieu. 16, 2, p. 351-419

    Research output: Contribution to journal › Article › peer-review

  18. Published

    On L-packets and depth for SL_2(K) and its inner form

    Plymen, R., Aubert, A-M., Mendes, S. & Solleveld, M., 2017, In: International Journal of Number Theory. 13, p. 1-19

    Research output: Contribution to journal › Article › peer-review

  19. Published

    The principal series of p -adic groups with disconnected center

    Aubert, A. M., Baum, P., Plymen, R. & Solleveld, M., 2017, In: Proceedings of the London Mathematical Society. 114, 5, p. 798-854 57 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1112/plms.12023
  20. 2016
  21. Published

    The local Langlands correspondence for inner forms of SL_n

    Plymen, R., Aubert, A-M., Baum, P. & Solleveld, M., 5 Dec 2016, In: Research in the Mathematical Sciences . 3:32, p. 1 34 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1186/s40687-016-0079-4
  22. Published

    Geometric structure for the principal series of a reductive p-adic group with connected centre

    Plymen, R., Aubert, A-M., Baum, P. & Solleveld, M., 2016, In: Journal of Noncommutative Geometry. 10, 2, p. 663-680

    Research output: Contribution to journal › Article › peer-review

  23. Published

    The local spectrum of the Dirac operator for the universal cover of SL_2(R)

    Plymen, R., Brodzki, J., Niblo, G. & Wright, N., 2016, In: Journal of Functional Analysis. 270, 3, p. 957-975

    Research output: Contribution to journal › Article › peer-review

  24. 2014
  25. Published

    Geometric structure in smooth dual and local Langlands conjecture

    Aubert, A-M., Baum, P., Plymen, R. & Solleveld, M., Sep 2014, In: Japanese Journal of Mathematics. 9, 2, p. 99-136

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1007/s11537-014-1267-x
  26. 2013
  27. Published

    Depth and the local Langlands correspondence

    Aubert, A-M., Baum, P., Plymen, R. & Solleveld, M., Nov 2013, In: Progress in Mathematics. 319, p. 17-41 25 p.

    Research output: Contribution to journal › Article › peer-review

  28. Published

    On the local Langlands correspondence for non-tempered representations

    Aubert, A-M., Baum, P., Plymen, R. & Solleveld, M., Oct 2013, In: Munster Journal of Mathematics.

    Research output: Contribution to journal › Article › peer-review

  29. Published

    The local Langlands correspondence for inner forms of SLn

    Aubert, A-M., Baum, P., Plymen, R. & Solleveld, M., May 2013, In: MIMS EPrints. 2013.38.

    Research output: Contribution to journal › Article › peer-review

  30. Published

    K-theory and the connection index

    Kamran, T. & Plymen, R., Feb 2013, In: Bulletin of the London Mathematical Society. 45, 1, p. 111-119 8 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1112/blms/bds071
  31. Published

    L-packets and formal degrees for SL_2(K) with K a local function field of characteristic 2

    Mendes, S. & Plymen, R., Feb 2013, In: Unknown Journal.

    Research output: Contribution to journal › Article › peer-review

  32. 2012
  33. Published

    Geometric structure in the tempered dual of SL(4)

    Chao, K. F. & Plymen, R., Jun 2012, In: Bulletin of the London Mathematical Society. 44, 3, p. 460-468 8 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1112/blms/bdr106
  34. 2011
  35. Published

    Geometric structure in the principal series of the {$p$}-adic group {${\rm G}_2$}

    Aubert, A-M., Baum, P. & Plymen, R., 2011, In: Representation Theory . 15, p. 126-169 44 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1090/S1088-4165-2011-00392-7
  36. Published

    Geometric structure in the representation theory of reductive $p$-adic groups II

    Aubert, A-M., Baum, P. & Plymen, R., 2011, Harmonic analysis on reductive, $p$-adic groups. American Mathematical Society, Vol. 543. p. 71-90 20 p. (Contemp. Math.).

    Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

    DOI: 10.1090/conm/543/10730
  37. 2010
  38. Published

    A new bound for the smallest x with π(x) > li(x)

    Chao, K. F. & Plymen, R., May 2010, In: International Journal of Number Theory. 6, 3, p. 681-690 9 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1142/S1793042110003125
  39. Published

    R-groups and geometric structure in the representation theory of SL(N)

    Jawdat, J. & Plymen, R., 2010, In: Journal of Noncommutative Geometry. 4, 2, p. 265-279 14 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.4171/JNCG/55
  40. 2007
  41. Published

    Geometric structure in the representation theory of p-adic groups

    Aubert, A. M., Baum, P. & Plymen, R., 15 Nov 2007, In: Académie des Sciences. Comptes Rendus. Mathématique. 345, 10, p. 573-578 5 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1016/j.crma.2007.10.011
  42. Published

    Base change and $K$-theory for $\rm GL(n)$

    Mendes, S. & Plymen, R., 2007, In: Journal of Noncommutative Geometry. 1, 3, p. 311-331

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.4171/JNCG/9
  43. 2006
  44. Published

    Cycles in the chamber homology of GL(3)

    Aubert, A. M., Hasan, S. & Plymen, R., Apr 2006, In: K-Theory. 37, 4, p. 341-377 36 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1007/s10977-006-9001-y
  45. Published

    The Hecke algebra of a reductive $p$-adic group: a geometric conjecture

    Aubert, A-M., Baum, P. & Plymen, R., 2006, Noncommutative geometry and number theory. p. 1-34 (Noncommutative geometry and number theory).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter

    DOI: 10.1007/978-3-8348-0352-8_1
  46. 2005
  47. Published

    Plancherel measure for GL(n, F) and GL(m, D): Explicit formulas and Bernstein decomposition

    Aubert, A. M. & Plymen, R., May 2005, In: Journal of Number Theory. 112, 1, p. 26-66 40 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1016/j.jnt.2005.01.005
  48. Published

    Entire cyclic cohomology of Schatten ideals

    Plymen, R., Brodzki, J. & Flymen, R., 2005, In: Homology, Homotopy and Applications. 7, 3, p. 37-52 15 p.

    Research output: Contribution to journal › Article › peer-review

  49. 2004
  50. Published

    Formule de Plancherel explicite pour le groupe p-adique

    Aubert, A. M. & Plymen, R., 1 Jun 2004, In: Académie des Sciences. Comptes Rendus. Mathématique. 338, 11, p. 843-848 5 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1016/j.crma.2004.03.026
  51. 2003
  52. Published

    Local-global principle for the Baum-Connes conjecture with coefficients

    Baum, P., Millington, S. & Plymen, R., 2003, In: K-Theory. 28, 1, p. 1-18 17 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1023/A:1024197623173
  53. 2002
  54. Published

    Reduced C*-algebra of the p-adic group GL(n) II

    Plymen, R. J., 1 Dec 2002, In: Journal of Functional Analysis. 196, 1, p. 119-134 15 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1006/jfan.2002.3980
  55. Published

    Chern character for the Schwartz algebra of p-adic GL(n)

    Brodzki, J. & Plymen, R., Mar 2002, In: Bulletin of the London Mathematical Society. 34, 2, p. 219-228 9 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1112/S002460930100861X
  56. Published

    Complex structure on the smooth dual of $\rm GL(n)$

    Brodzki, J. & Plymen, R., 2002, In: Doc. Math.. 7, p. 91-112

    Research output: Contribution to journal › Article › peer-review

  57. 2001
  58. Published

    Une démonstration de la conjecture de Baum-Connes pour les groupes réductifs adèliques

    Plymen, R., Baum, P., Millington, S. & Flymen, R., 1 Feb 2001, In: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 332, 3, p. 195-200 5 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1016/S0764-4442(00)01810-3
  59. 2000
  60. Published

    Geometry of the smooth dual of $\rm GL(n)$

    Brodzki, J. & Plymen, R., 2000, In: C. R. Acad. Sci. Paris Sér. I Math.. 331, 3, p. 213-218

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1016/S0764-4442(00)01618-9
  61. Published

    Representation theory of $p$-adic groups: a view from operator algebras

    Baum, P. F., Higson, N. & Plymen, R. J., 2000, The mathematical legacy of Harish-Chandra (Baltimore, MD, 1998). Vol. 68. p. 111-149 (The mathematical legacy of Harish-Chandra (Baltimore, MD, 1998)).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter

  62. 1999
  63. Published

    Homologie cyclique périodique de certaines algèbres nucléaires

    Brodzki, J. & Plymen, R., 15 Oct 1999, In: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics. 329, 8, p. 671-676 5 p.

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1016/S0764-4442(00)88215-4
  64. 1997
  65. Published

    A proof of the Baum-Connes conjecture for $p$-adic $\rm GL(n)$

    Baum, P., Higson, N. & Plymen, R., 1997, In: C. R. Acad. Sci. Paris Sér. I Math.. 325, 2, p. 171-176

    Research output: Contribution to journal › Article › peer-review

    DOI: 10.1016/S0764-4442(97)84594-6
  66. Published

    Universal example for $S$-arithmetic groups

    Hodgins, J. E. & Plymen, R. J., 1997, In: Exposition. Math.. 15, 2, p. 149-159

    Research output: Contribution to journal › Article › peer-review

  67. 1996
  68. Published

    The representation theory of $p$-adic $\rm GL(n)$ and Deligne-Langlands parameters

    Hodgins, J. E. & Plymen, R. J., 1996, Analysis, geometry and probability. Vol. 10. p. 54-72 (Analysis, geometry and probability).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter

  69. 1994
  70. Published

    Spinors in Hilbert space

    Plymen, R. J. & Robinson, P. L., 1994, Cambridge University Press. (Cambridge Tracts in Mathematics)

    Research output: Book/Report › Book › peer-review

  71. 1993
  72. Published

    Equivariant homology for $\rm SL(2)$ of a $p$-adic field

    Baum, P., Higson, N. & Plymen, R., 1993, Index theory and operator algebras (Boulder, CO, 1991). Vol. 148. p. 1-18 (Index theory and operator algebras (Boulder, CO, 1991)).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter

  73. 1992
  74. Published

    Coupling constants for $p$-adic groups

    Plymen, R. J., 1992, $p$-adic methods and their applications. p. 63-72 ($p$-adic methods and their applications).

    Research output: Chapter in Book/Report/Conference proceeding › Chapter

  75. Published

    Elliptic representations and $K$-theory for $\rm SL(l)$

    Plymen, R. J., 1992, In: Houston Journal of Mathematics. 18, 1, p. 25-32

    Research output: Contribution to journal › Article › peer-review

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Research Explorer downloads

102
Epsilon factors as algebraic characters on the smooth dual of $\mathrm{GL}_n$

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

24
Depth and the local Langlands correspondence

Research output: Contribution to journal › Article › peer-review

17
The representation theory of $p$-adic $\rm GL(n)$ and Deligne-Langlands parameters

Research output: Chapter in Book/Report/Conference proceeding › Chapter

13
Entire cyclic cohomology of Schatten ideals

Research output: Contribution to journal › Article › peer-review

8
On the local Langlands correspondence for non-tempered representations

Research output: Contribution to journal › Article › peer-review