Eric Opdam

matemático neerlandês

Eric Marcus Opdam (1960) é um matemático neerlandês, que trabalha com álgebra e análise harmônica.

Eric Opdam
Eric Opdam
Nascimento 1960
Alma mater
Ocupação matemático
Empregador(a) Universidade de Amsterdã

Opdam Obteve um doutorado em 1988 na Universidade de Leiden, orientado por Gerrit van Dijk, com a tese Generalized Hypergeometric Functions Associated with Root Systems.[1] É professor da Universidade de Amsterdã.

Foi palestrante convidado do Congresso Europeu de Matemática em Barcelona (2000: Hecke algebras and harmonic analysis). Foi palestrante convidado do Congresso Internacional de Matemáticos em Madrid (2006). É membro da Academia Real das Artes e Ciências dos Países Baixos.[2]

Publicações selecionadas editar

  • Spectral correspondences for affine Hecke algebras. Advances in Mathematics, Volume 286, 2016, p. 912–957
  • Spectral transfer morphisms for unipotent affine Hecke algebras. Selecta Mathematica-New Series, Volume 22, 2016, p. 2143–2207
  • com D. Ciubotaru: Formal degrees of unipotent discrete series representations and the exotic Fourier transform. Proceedings of the London Mathematical Society, Volume 110, 2015, p. 615–646
  • com D. Ciubotaru, P. E.Trapa: Algebraic and analytic Dirac induction for graded affine Hecke algebras. Journal of the Institute of Mathematics of Jussieu, Volume 13, 2014, p. 447–486
  • com Maarten Solleveld: Extensions of tempered representations. Geometric and Functional Analysis, Volume 23, 2013, p. 664–714.
  • com V. Heiermann: On the tempered L-functions conjecture. American Journal of Mathematics, Volume 135, 2013, p. 777–799
  • com M. Solleveld: Discrete series characters for affine Hecke algebras and their formal degrees. Acta mathematica, Volume 205, 2010, p. 105–187
  • com M. Solleveld: Homological algebra for affine Hecke algebras. Advances in Mathematics, Volume 220, 2009, p. 1549–1601
  • com E. Emsiz, J. V. Stokman: Trigonometric Cherednik algebra at critical level and quantum many-body problems. Selecta Mathematica-New Series, Volume 14, 2009, p. 571–605
  • com Patrick Delorme: The Schwartz algebra of an affine Hecke algebra. Journal für die reine und angewandte Mathematik, Volume 625, 2008, p. 59–114
  • On the spectral decomposition of affine Hecke algebras. J. Inst. Math. Jussieu, Volume 3, 2004, p. 531–648.
  • A generating function for the trace of the Iwahori-Hecke algebra, in: Studies in memory of Issai Schur, Progr. Math. 210, Birkhäuser 2003, p. 301–323. doi:10.1007/978-1-4612-0045-1_11
  • com Victor Ginzburg, Nicolas Guay, Raphaël Rouquier: On the category O for rational Cherednik algebras, Inv. Math., Volume 154, 2003, p. 617–651, Arxiv
  • Lectures on Dunkl operators for real and complex reflection groups, Memoirs Math. Soc. Japan, Tokio, 2001
  • The central support of the Plancherel measure of an affine Hecke algebra
  • Cuspidal hypergeometric functions, Moscow Math. J., Volume 7, 2007, p. 723–741
  • com Gert Heckman: Yang's system of particles and Hecke algebras, Annals of Mathematics, Volume 145, 1997, p. 139–173.
  • com Gert Heckman: Harmonic analysis for affine Hecke algebra, in: Current developments in Mathematics 1996, Intern. Press 1997, p. 37–60.
  • Harmonic Analysis for certain representations of graded Hecke algebras, Acta Mathematica, Volume 175, 1995, p. 75–121
  • An analogue of the Gauss summation formula for hypergeometric functions related to root systems, Mathematische Zeitschrift, Volume 212, 1993, p. 313–336
  • Some applications of hypergeometric shift operators, Inventiones Mathematicae, Volume 98, 1989, p. 1–18
  • com Gert Heckman: Root systems and hypergeometric functions I, Compositio Mathematica, Volume 64, 1987, p. 329–352.

Referências

Ligações externas editar