Publications and Preprints

• Publications

  • Über gewisse Galoiscohomologiegruppen
    Math. Z. 168, 181-205 (1979)
  • Über die Werte der Riemann'schen Zetafunktion an den ganzzahligen Stellen
    J. reine angew. Math. 313, 189-194 (1980)
  • Die Galoiscohomologie p-adischer Darstellungen über Zahlköpern
    Dissertation, Regensburg 1980
  • On the values of the zeta function of a variety over a finite field
    Compositio Math. 46, 133-143 (1982)
  • Height pairings in the Iwasawa theory of abelian varieties
    Séminaire de Théorie des Nombres de Paris 1980-1981. Progress in Math. 22, 309-316, Birkhäuser
  • Zur Vermutung von Birch und Swinnerton-Dyer über globalen Funktionenköpern
    Math. Ann. 260, 495-510 (1982)
  • p-adic height pairings I
    Invent. math. 69, 401-409 (1982)
  • Iwasawa L-Functions of Varieties over Algebraic Number Fields. A First Approach
    Invent. math. 71, 251-293 (1983)
  • Rigid-analytic L-Transforms
    Number Theory Noordwijkerhout 1983, Proc. Journées Arithm., Springer Lecture Notes 1068, 216-230 (1984)
  • The Iwasawa theoretic version of the conjecture of Birch and Swinnerton-Dyer
    Séminaire de Théorie des Nombres de Paris 1982-83. Progress in Math. 51, 275-281, Birkhäuser
  • p-adic height pairings II
    Invent. math. 79, 329-374 (1985)
  • Arithmetic of formal groups and applications I: Universal norm subgroups
    Invent. math. 87, 587-602 (1987)
  • Introduction to the Beilinson conjectures
    (mit M. Rapoport, N. Schappacher) in Beilinson's Conjecture on Special Values of L-Functions, Perspectives in Math. 4, Academic Press 1988
  • The mu-invariant of isogenies
    J. Indian Math. Soc. 52, 159-170 (1987)
  • Motivic Iwasawa Theory
    Advanced Studies in Pure Math. 17, Algebraic Number Theory - in honor of K. Iwasawa, 421-456 (1989)
  • The cohomology of p-adic symmetric spaces
    (mit U. Stuhler) Invent. math. 105, 47-122 (1991)
  • The cohomology of local systems on p-adically uniformized varieties
    Math. Ann. 293, 623-650 (1992)
  • Points of rigid analytic varieties
    J. reine angew. Math. 434, 127-157 (1993)
  • Resolutions for smooth representations of the general linear group over a local field
    (mit U. Stuhler) J. reine angew. Math. 436, 19-32 (1993)
  • p-adic points of motives
    Motives, Proc. Symp. Pure Math. 55 (2), 225-249, AMS 1994
  • Points and topologies in rigid geometry
    (mit M. van der Put) Math. Ann. 302, 81-103 (1995)
  • The cyclic homology of p-adic reductive groups
    J. reine angew. Math. 475, 39-54 (1996)
  • Gebäude in der Darstellungstheorie über lokalen Zahlkörpern
    Jahresberichte Dt. Math.-Ver. 98, 135-145 (1996)
    Pictures: Bild 1 Bild 2 Bild 3 Bild 4 Bild 5 Bild 6 Bild 7 Bild 8
  • An integral transform for p-adic symmetric spaces
    (mit J. Teitelbaum) Duke Math. Journal 86, 391-433 (1997)
  • Representation theory and sheaves on the Bruhat-Tits building
    (mit U. Stuhler) Publ. Math. IHES 85, 97-191 (1997)
  • Verdier duality on the building
    J. reine angew. Math. 494, 205-218 (1998)
  • Equivariant homology for totally disconnected groups
    J. Algebra 203, 50-68 (1998)
  • Hochschild and cyclic homology of finite type algebras
    (mit D. Kazhdan, V. Nistor) Selecta math., New ser. 4, 321-359 (1998)
  • Basic notions of rigid analytic geometry
    Galois Representations in Arithmetic Algebraic Geometry, Proc. Durham Conf.
    1996, London Math. Soc. Lect. Notes 254, 369-378 (1998)
  • K-types for the tempered components of a p-adic general linear group
    (mit E.-W. Zink; appendix by P. Schneider, U. Stuhler) J. reine angew. Math. 517, 161-208 (1999)
  • U(g)-finite locally analytic representations
    (mit D. Prasad, J. Teitelbaum) Representation Theory 5, 111-128 (2001)
  • p-adic Fourier theory
    (mit J. Teitelbaum) Documenta Math. 6, 447-481 (2001)
  • Locally analytic distributions and p-adic representation theory, with applications to GL₂
    (mit J. Teitelbaum) J. AMS 15, 443-468 (2002)
  • p-adic boundary values
    (mit J. Teitelbaum) Astérisque 278, 51-125 (2002) and 295, 291-299 (2004)
    This file contains an updated version of the published paper. Places which have been changed are indicated on the margin.
  • Banach space representations and Iwasawa theory
    (mit J. Teitelbaum) Israel J. Math. 127, 359-380 (2002)
  • Equivariant-bivariant Chern character for profinite groups
    (mit P. Baum) K-Theory 25, 313-353 (2002)
  • Modules over Iwasawa algebras
    (mit J. Coates, R. Sujatha) J. Inst. Math. Jussieu 2, 73 - 108 (2003)
  • Algebras of p-adic distributions and admissible representations
    (mit J. Teitelbaum) Invent. math. 153, 145 - 196 (2003)
  • Links between cyclotomic and GL_2 Iwasawa theory
    (mit J. Coates, R. Sujatha) Documenta Mathematica, The Book Series 3 (K. Kato's Fiftieth Birthday), 187 - 215 (2003)
  • Duality for admissible locally analytic representations
    (mit J. Teitelbaum) Representation Theory 9, 297-326 (2005)
  • On the codimension of modules over skew power series rings with applications to Iwasawa algebras
    (mit O. Venjakob) J. Pure Appl. Algebra 204, 349 - 367 (2005)
  • Continuous representation theory of p-adic Lie groups
    Proc. ICM Madrid 2006, vol. II, 1261 - 1282
  • Banach-Hecke algebras and p-adic Galois representations
    (mit J. Teitelbaum) Documenta Mathematica, The Book Series 4 (J. Coates' Sixtieth Birthday), 631 - 684 (2006)
  • The algebraic theory of tempered representations of p-adic groups, Part I: Parabolic induction and restriction
    (mit E.-W. Zink) J. Inst. Math. Jussieu 6, 639 - 688 (2007)
  • First steps towards p-adic Langlands functoriality
    (mit C. Breuil) J. reine angew. Math. 610, 149 - 180 (2007)
  • The algebraic theory of tempered representations of p-adic groups, Part II: Projective generators
    (mit E.-W. Zink) Geometric and Functional Analysis 17, 2018 - 2065 (2008)
  • Localizations and completions of skew power series rings
    (mit O. Venjakob) American J. Math. 132, 1-36 (2010)
  • A functor from smooth o-torsion representations to (φ , Γ )-modules
    (mit M.-F. Vigneras) in "On Certain L-Functions" (Eds. Arthur, Cogdell,...). Clay Mathematics Proc., vol. 13, 525-601, AMS-CMI 2011
  • K₁ of certain Iwasawa algebras, after Kakde
    (mit O. Venjakob) in ''Noncommutative Iwasawa Main Conjectures over Totally Real Fields '', Münster 2011 (Eds. Coates, Schneider, Sujatha, Venjakob). Springer Proc. Math & Stat., vol. 29, 79 - 123 (2013)
  • Robba rings for compact p-adic Lie groups
    Appendix to the paper "Generalized Robba rings" by G. Zabradi, Israel J. Math. 191, 856 - 887 (2012)
  • A splitting for K₁ of completed group rings
    (mit O. Venjakob) Comment. Math. Helv. 88, 613-642 (2013)
  • SK₁ and Lie algebras
    (mit O. Venjakob), Math. Ann. 357, 1455-1483 (2013)
  • Pro-p Iwahori-Hecke algebras are Gorenstein
    (mit R. Ollivier), J. Inst. Math. Jussieu 13, 753-809 (2014)
  • From étale P_+-representations to G-equivariant sheaves on G/P
    (mit M.-F. Vigneras, G. Zabradi), in "Automorphic Forms and Galois Representations, vol. 2" (Eds. Diamond, Kassaei, Kim). Cambridge Univ. Press, LMS Lecture Note Series 415, 248 - 366 (2014)
  • Smooth representations and Hecke modules in characteristic p
    Pacific J. Math. 279, 447 - 464 (2015)
  • Tempered representations of p-adic groups: Special idempotents and topology
    (mit E.-W. Zink), Selecta Math. 22, 2209 - 2242 (2016)
  • Coates-Wiles homomorphisms and Iwasawa cohomology for Lubin-Tate extensions
    (mit O. Venjakob), in "Elliptic Curves, Modular Forms and Iwasawa Theory", in honour of J. Coates' 70th birthday (Eds. Loeffler, Zerbes). Springer Proc. Math. & Stat., vol. 188, 401-468 (2016)
  • Type theory and coefficient systems on the building
    (mit P. Broussous), Bull. Soc. math. France 145, 97 - 159 (2017)
  • A canonical torsion theory for pro-p Iwahori-Hecke modules
    (mit R. Ollivier), Advances in Math. 327, 52 - 127 (2018)
  • The modular pro-p Iwahori-Hecke Ext-algebra
    (mit R. Ollivier), Proc. Symp. Pure Math. 101, 255 - 308 (2019)
  • Zelevinsky operations for multisegments and a partial order on partitions
    (mit E.-W. Zink), Pacific J. Math. 304(1), 181 - 207 (2020)
  • Rigid character groups, Lubin-Tate theory, and (φ , Γ )-modules
    (mit L. Berger, B. Xie), Memoirs AMS vol. 263, no. 1275 (2020)
  • Derived parabolic induction
    (mit S. Scherotzke), Bull. London Math. Soc. 54(1), 264 - 274 (2022)
  • On the pro-p Iwahori Hecke Ext-algebra of SL_2(Q_p)
    (mit R. Ollivier), Mémoires SMF vol. 175 (2022)

   

• Preprints

  • The Bernstein center in natural characteristic (mit K. Ardakov), to appear in Proc. Steklov Inst. Math.
  • Duals and admissibility in natural characteristic (mit C. Sorensen), to appear in Representation Theory
  • The central sheaf of a Grothendieck category (mit K. Ardakov), Preprint 2022
  • Reciprocity laws for (φ_L , Γ_L )-modules over Lubin-Tate extensions (mit O. Venjakob), Preprint 2023
  • Compairing categories of Lubin-Tate (φ_L , Γ_L )-modules (mit O. Venjakob), Preprint 2023

   

   

• Lecture Notes

  • Introducton to formal commutative algebra, Course at Köln, 1991/92
  • Nonarchimedean Functional Analysis, Course at Münster, 1997
    The manuscript has appeared in Nov. 2001 as book in the series Springer Monographs in Mathematics.
  • The 1999 Britton Lectures at McMaster University on "p-adic representation theory"
  • Ausgewählte Kapitel aus der nichtkommutativen Algebra, Vorlesung in Münster, 2000
  • p-Adic Lie Groups, Course at Münster, 2001 and 2007/2008, and at the Newton Institute in 2009
    The manuscript has appeared in July 2011 as volume 344 in the series Springer Grundlehren der math. Wissenschaften.
  • p-adische Differentialgleichungen, Vorlesung in Münster, 2004
    Skriptum
    Übungsblätter (von E. Grosse Klönne)
  • Continuous and locally analytic representation theory
    Lectures by P. Schneider and J. Teitelbaum at Hangzhou, 2004
  • Die Theorie des Anstiegs,
    Lectures in Münster, 2006/2007
  • p-adic Banach space representations of p-adic groups
    Lectures at Jerusalem, 2009
  • Modular Representation Theory of Finite Groups, Course at Münster, 2010/11
    The manuscript has appeared in 2013 at Springer.
  • Galois representations and (phi,Gamma)-modules, Course at Münster, 2015
    The manuscript has appeared in April 2017 in the series Cambridge Studies in Advanced Mathematics. Errata.
  • Lubin-Tate theory, Course at Münster, 2017
    These notes give a cohomology free account of local class field theory, which only uses Lubin-Tate formal group laws and some higher ramification theory.

   

• Miscellaneous

  • Remarks on Emerton`s functor
    (with J. Teitelbaum)
  • The perfectoid open unit disk

   

• Diplom-, Master- und Doktorarbeiten

  • Torsten Schoeneberg: p-adische Galoisdarstellungen und (φ, Γ)-Moduln, 2009
    This paper contains a complete and detailed proof of Fontaine's theorem that the category of p-adic Galois representations is equivalent to the category of etale (φ, Γ)-modules.
  • Marten Bornmann: Ganzzahlige affine Hecke Algebren, 2009
    This paper gives a detailed exposition of the Bernstein/Lusztig description of affine Hecke algebras as well as of Vigneras' integral version.
  • Marius Kley: Perfekte (φ, Γ)-Moduln, 2016
    This paper gives a complete and detailed treatment of the relation between the imperfect and the perfect version of the theory of (φ,Γ)-modules.
  • Verena Edenfeld: Tief verzweigte Erweiterungen und perfektoide Körper, 2017
    This paper discusses in detail the relation between the notions of perfectoid fields, deeply ramified extensions, and arithmetically profinite extensions.
  • Mark Feldmann: Dissertation Feldmann, 2018
    This thesis treats the p-adic representation theory of the Weil Group using the methods of Fontaine's classification of Galois representations and explains the interplay of both categories of representations in the de Rham case.
  • Matthias Wulkau:  Dissertation Wulkau, 2018
    This thesis develops the notion of crystalline representations of certain central extensions of local Galois groups. It relates them to filtered isocrystals whose filtration is indexed by rational numbers.
  • Marius Kley: Dissertation Kley, 2019
    This thesis introduces etale $(\varphi,\Gamma)$-modules with values in the points of a reductive group and relates them to local Galois parameters.