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).
An overview with summaries can be viewed on this page of the arXiv.



Local Langlands program

 A local Langlands correspondence for unipotent representations
    June 2018, arXiv:1806.11357

 Supercuspidal unipotent representations: L-packets and formal degrees
    joint with Yongqi Feng and Eric Opdam
    May 2018, arXiv:1805.01888

 Affine Hecke algebras for Langlands parameters
    joint with Anne-Marie Aubert and Ahmed Moussaoui
    January 2017, arXiv:1701.03593

 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 p-adic groups and their noncommutative geometry
    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


GLn, SLn, and their inner forms

  On L-packets and depth for SL2(K) and its inner form
    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: Arbeitstagung Bonn 2013. In memory of Friedrich Hirzebruch
    Progress in Mathematics 319, Birkhäuser, 2016

  The noncommutative geometry of inner forms of p-adic special linear groups
    joint with Anne-Marie Aubert, Paul Baum and Roger Plymen
    May 2015, arXiv:1505.04361

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

  The principal series of p-adic groups with disconnected centre
    joint with Anne-Marie Aubert, Paul Baum and Roger Plymen
    Proc. London Math. Soc. 114.5 (2017), 798-854

  Geometric structure for the principal series of a split reductive p-adic group with connected centre
    joint with Anne-Marie Aubert, Paul Baum and Roger Plymen
    J. Noncommut. Geom. 10 (2016), 663-680

  The second adjointness theorem for reductive p-adic groups
    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 p-adic groups
    joint with Eric Opdam
    Journal of Functional Analysis 265 (2013), 108-134

 Characters and growth of admissible representations of reductive p-adic groups
    joint with Ralf Meyer
    Journal de l'Institute de Mathematiques de Jussieu 11.2 (2012), 289-331

 Resolutions for representations of reductive p-adic groups via their buildings
    joint with Ralf Meyer
    Journal für die reine und angewandte Mathematik 647 (2010), 115-150



Representation theory of Hecke algebras


  Graded Hecke algebras for disconnected reductive groups
    joint with Anne-Marie Aubert and Ahmed Moussaoui
    July 2016, arXiv:1607.02713

  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
    arXiv:1610.06722, to appear in Annals of K-theory

  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).
cover of PhD thesis