Welcome to Maarten Solleveld's homepage

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Here you can download my papers and thesis as pdf-files.

They are grouped according to topic (although in several cases there is substantial overlap).

- Local Langlands program
- Hecke algebras and Langlands parameters
- GL
_{n}, SL_{n}, and their inner forms - Representation theory of p-adic groups
- p-adic groups and their buildings
- Representation theory of Hecke algebras
- Noncommutative algebraic geometry
- Theses

Local Langlands program

Supercuspidal unipotent representations: L-packets and formal degrees

joint with Yongqi Feng and Eric Opdam

May 2018, arXiv:1805.01888

Generalizations of the Springer correspondence and cuspidal Langlands parameters

joint with Anne-Marie Aubert and Ahmed Moussaoui

Manus. Math. (2018), 1--72, 10.1007/s00229-018-1001-8

Conjectures about

joint with Anne-Marie Aubert, Paul Baum and Roger Plymen

Contemp. Math. 691 (2017), 15--51

Geometric structure in smooth dual and local Langlands conjecture

joint with Anne-Marie Aubert, Paul Baum and Roger Plymen

Japanese Journal of Mathematics 9 (2014), 99-136

On the local Langlands correspondence for non-tempered representations

joint with Anne-Marie Aubert, Paul Baum and Roger Plymen

Münster Journal of Mathematics 7 (2014) 27-50

Hecke algebras and Langlands parameters

Langlands parameters, functoriality and Hecke algebras

October 2018, arXiv:1810.12693

A local Langlands correspondence for unipotent representations

June 2018, arXiv:1806.11357

Affine Hecke algebras for Langlands parameters

joint with Anne-Marie Aubert and Ahmed Moussaoui

January 2017, arXiv:1701.03593

Graded Hecke algebras for disconnected reductive groups

joint with Anne-Marie Aubert and Ahmed Moussaoui

pp. 23-84 in:

Simons Symposia, Springer, 2018

The principal series of

joint with Anne-Marie Aubert, Paul Baum and Roger Plymen

Proc. London Math. Soc. 114.5 (2017), 798-854

GL

On L-packets and depth for SL

joint with Anne-Marie Aubert, Sergio Mendes and Roger Plymen

Int. J. Number Theory 10.13 (2017), 2545-2568

Depth and the local Langlands correspondence

joint with Anne-Marie Aubert, Paul Baum and Roger Plymen

pp. 17--41 in:

Progress in Mathematics 319, Birkhäuser, 2016

The noncommutative geometry of inner forms of

joint with Anne-Marie Aubert, Paul Baum and Roger Plymen

May 2015, arXiv:1505.04361

Hecke algebras for inner forms of

joint with Anne-Marie Aubert, Paul Baum and Roger Plymen

J. Inst. Math. Jussieu 16.2 (2017), 351-419

The local Langlands correspondence for inner forms of SL

joint with Anne-Marie Aubert, Paul Baum and Roger Plymen

Research in the Mathematical Sciences 3.32 (2016)

Representation theory of p-adic groups

On completions of Hecke algebras

November 2017, arXiv:1612.01776

Geometric structure for the principal series of a split reductive

joint with Anne-Marie Aubert, Paul Baum and Roger Plymen

J. Noncommut. Geom. 10 (2016), 663-680

The second adjointness theorem for reductive

preprint, joint with Ralf Meyer

April 2010, arXiv:1004.4290

p-adic groups and their buildings

Pseudo-reductive and quasi-reductive groups over non-archimedean local fields

Journal of Algebra 510 (2018), 331-392

Resolutions of tempered representations of reductive

joint with Eric Opdam

Journal of Functional Analysis 265 (2013), 108-134

Characters and growth of admissible representations of reductive

joint with Ralf Meyer

Journal de l'Institute de Mathematiques de Jussieu 11.2 (2012), 289-331

Resolutions for representations of reductive

joint with Ralf Meyer

Journal für die reine und angewandte Mathematik 647 (2010), 115-150

Representation theory of Hecke algebras

Extensions of tempered representations

joint with Eric Opdam

Geometric And Functional Analysis 23 (2013), 664-714

On the classification of irreducible representations of affine Hecke algebras with unequal parameters

Representation Theory 16 (2012), 1-87

Parabolically induced representations of graded Hecke algebras

Algebras and Representation Theory 15.2 (2012), 233-271

Discrete series characters for affine Hecke algebras and their formal degrees

joint with Eric Opdam

Acta Mathematica 205 (2010), 105-187

Homological algebra for affine Hecke algebras

joint with Eric Opdam

Advances in Mathematics 220 (2009), 1549-1601

Noncommutative algebraic geometry

On the spectra of finite type algebras

joint with Anne-Marie Aubert, Paul Baum and Roger Plymen

May 2017, arXiv:1705.01404

Topological K-theory of affine Hecke algebras

Annals of K-theory 3.3 (2018), 395--460

Hochschild homology of affine Hecke algebras

Journal of Algebra 384 (2013), 1-35

Homology of graded Hecke algebras

Journal of Algebra 323 (2010), 1622-1648

Periodic cyclic homology of reductive p-adic groups

Journal of Noncommutative Geometry 3.4 (2009), 501-558

Periodic cyclic homology of Hecke algebras and their Schwartz completions

preprint, April 2006

arXiv:math.KT/0605042

Some Fréchet algebras for which the Chern character is an isomorphism

K-Theory 36 (2005), 275-290

arXiv:math.KT/0505282 -- with an appendix from September 2008

Theses

In September 2002 I finished my studies at the UvA with the master's thesis Lie algebra cohomology and Macdonald's conjectures On 6 March 2007 I successfully defended my Ph.D. thesis Periodic cyclic homology of affine Hecke algebras at the Universiteit van Amsterdam. You can find the Dutch summary here. In November 2008 the Dutch Genootschap ter bevordering van natuur-, genees- en heelkunde awarded me the Andreas Bonn medal for my research as a PhD-student. In June 2011 I obtained my Habilitation at the Universität Göttingen. For this occasion I gave a Lehrvortrag and I wrote an extensive Forschungsbericht (in German). |