Eric Opdam

Eric Opdam, Oberwolfach 2014

Eric Marcus Opdam (* 1960 ) is a Dutch mathematician who studies algebra and harmonic analysis .

Opdam received his doctorate in 1988 under Gerrit van Dijk at the University of Leiden (Generalized Hypergeometric Functions Associated with Root Systems). He is a professor at the University of Amsterdam . From 2015 he was director of the Korteweg de Vries Institute for Mathematics (KdVI) as the successor to Jan Wiegerinck . He has been at the KdVI since 1999.

He is particularly concerned with analytical aspects of Iwahori-Hecke algebras, with hypergeometric functions that are connected to the root systems of Lie algebras (Heckman-Opdam hypergeometric functions) and Dunkl operators for complex reflection groups.

Opdam was invited to speak at the European Congress of Mathematicians in Barcelona in 2000 (Hecke algebras and harmonic analysis). In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid . He is a member of the Dutch Academy of Sciences . In 2010 he received an Advanced Grant from the ERC.

He is one of the editors of Compositio Mathematica .

Fonts (selection)

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

Web links

Individual evidence

personal data
SURNAME	Opdam, Eric
ALTERNATIVE NAMES	Opdam, Eric Marcus (full name)
BRIEF DESCRIPTION	Dutch mathematician
DATE OF BIRTH	1960

[1] Eric Opdam in the Mathematics Genealogy Project (English)

[2] Communication from the Free University of Amsterdam , 2015

[3] Entry at the KNAW