| Wissenschaftliche Mitarbeiter | Research | Lehre | Bibliography | Slides/Beamer | Diplom-/Masterarbeiten | Doktorarbeiten | Events |
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Prof. Dr. Otmar Venjakob Universität Heidelberg
Telefon: +49-(0)6221-54-14232, |
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| Sekretariat: | Frau Schmoetten-Jonas, Raum 03.417 ,
Telefon: +49-(0)6221-54-14241, Telefax : -14243 |
| Si on cherche avec une véritable attention la solution d'un problème de géométrie et si, au bout d'une heure, on n'est pas plus avancé qu'en commençant, on a néanmoins avancé, durant chaque minute de cette heure, dans une autre dimension plus mystérieuse. Sans qu'on le sente, sans qu'on le sache, cet effort en apparence stérile et sans fruit a mis plus de lumière dans l'âme. Le fruit se retrouvera un jour, plus tard, dans la prière. Il se retrouvera sans doute aussi par surcroît dans un domaine quelconque de l'intelligence, peut-être tout à fait étranger à la mathématique. Peut-être un jour celui qui a donné cet effort inefficace sera-t-il capable de saisir plus directement, à cause de cet effort, la beauté d'un vers de Racine. Mais que le fruit de cet effort doive se retrouver dans la prière, cela est certain, cela ne fait aucun doute. |
Research
Iwasawa theory of p-adic Lie
extensions , i.e.
structure theory of (modules over) completed group rings,
Arithmetic of Elliptic Curves, Selmer groups of
abelian varieties,
Structure of profinite (or pro-p) groups, generalized
free (co)products, e.g. fundamental groups of graphs of groups ...
Skew power series rings, skew Laurent series rings
Algebraic K-theory
p-adische Hodge theory:(ɸ ,ℾ)-modules
DFG-Transregio CRC326-GAUS
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DFG-Forschergruppe Symmetrie, Geometrie und Arithmetik. |
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 | The research project Iwasawa theory of p-adic Lie
extensions has been supported by the ERC Starting Grant IWASAWA (01.07.2008 - 30.06.2013) and has been supported by a DFG Individual Grant (01.07.2007 - 30.09.2011). |
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On
the structure of Selmer groups over p-adic Lie extensions (with Yoshihiro Ochi)
Galois groups of real function fields in one variable with restricted ramification
On the structure theory of the Iwasawa algebra of a p-adic Lie group
On the Iwasawa theory of p-adic Lie extensions
On the ranks of Iwasawa modules over p-adic Lie extensions
A noncommutative Weierstrass preparation theorem and aplications to Iwasawa theory
Completely faithful Selmer groups over Kummer extensions (with Yoshitaka Hachimori)
Characteristic Elements in Noncommutative Iwasawa Theory
The GL_2 main conjecture for elliptic curves
without complex multiplication (with J. Coates, T. Fukaya, K. Kato and R. Sujatha)
From classical to non-commutative Iwasawa theory - an introduction to the GL_2 main conjecture
On the codimension of modules over skew power series rings with applications to Iwasawa algebras (with P. Schneider)
From the Birch and Swinnerton Dyer Conjecture over the Equivariant Tamagawa Number Conjecture to non-commutative Iwasawa theory
Leading terms of p-adic L-functions in non-commutative Iwasawa theory (with D. Burns)
Können Zeta-Funktionen diophantische Gleichungen lösen? (Antrittsvorlesung in Bonn)
Localisations and completions of skew power series rings (with P. Schneider)
On descent theory and main conjectures
in non-commutative Iwasawa theory (with D. Burns)
Deligne-Ribet's work on L-values
On the non-commutative Main Conjecture for elliptic curves with complex
multiplication (with A. Bouganis)
A splitting for K_1 of completed group rings (with P. Schneider)
Galois invariants of K_1-groups of Iwasawa algebras (with D. Izychev)
K_1 of certain Iwasawa algebras, after Kakde (with P. Schneider)
On the work of Ritter and Weiss in Comparison with Kakde's Approach
SK_1 and Lie algebras (with P. Schneider)
On Kato's local $\epsilon$-isomorphism Conjecture for rank one Iwasawa modules (old title: On the non-commutative Local Main Conjecture for elliptic curves with complex multiplication)
A note on determinant functors and spectral sequences
Local epsilon isomorphisms (with D. Loeffler and S. Zerbes)
Equivariant epsilon conjecture for 1-dimensional Lubin-Tate groups (with D.Izychev)
Coates-Wiles homomorphisms and Iwasawa cohomology for Lubin-Tate extensions (with P. Schneider)
Wach modules, Regulator maps and $\varepsilon$-isomorphisms in families (with R. Bellovin)
On Spectral Sequences for Iwasawa Adjoints à la Jannsen for
Families (with O. Thomas)
Herr complexes in the Lubin-Tate setting (with B. Kupferer)
Reciprocity laws for (ɸ ,ℾ)-modules over Lubin-Tate extensions (with P. Schneider)
Comparing categories of Lubin-Tate (ɸ ,ℾ)-modules (with P. Schneider)
Explicit Reciprocity Laws in Iwasawa Theory -- A survey with some focus on the Lubin-Tate setting
Epsilon-isomorphisms for rank one (ɸ ,ℾ)-modules over Lubin-Tate Robba rings (with M.Malcic, R. Steingart, M. Witzelsperger)
4ecm Stockholm, 29.06.2004, (also Altencoa 2006, Popayan, Colombia), The GL_2 main conjecture for elliptic curves without complex multiplication
Regionale Siegerehrung der 45. Mathematik-Olympiade, Bonn 2005, 1 + 1 = 0
University of Havana, February 19-23, 2007, From the Birch and Swinnerton Dyer Conjecture to the GL_2 Main Conjecture for elliptic curves
Kassel, 17.12.2007, Können L-Funktionen Diophantische
Gleichungen lösen? - Eine Hinführung zur (nicht-kommutativen) Iwasawa Theorie
CMS Winter 2007 Meeting, 13.12.2007, Are L-functions able to solve Diophantine equations? - An introduction to (non-commutative) Iwasawa theory
Newton Institute Cambridge, 22.07.2009, On the noncommutative Iwasawa Main Conjecture for CM-elliptic curves (video), Slides I , Slides II
CIMPA School in Cartagena, 14.02.2012, Plenary talk On SK_1 of Iwasawa algebras , Course notes on p-adic Numbers and the Hasse Principle
Iwasawa 2023, In memory of John Coates, 20.07.2023, Plenary talk Epsilon-isomorphisms for analytic (ɸ ,ℾ)-modules over Lubin-Tate Robba rings
Diplom- und Masterarbeiten
(Dies sind (unkorrigierte) Prüfungsleistungen, daher keine Beanspruchung mathematischer Korrektheit!)
Alexander Leesch, On the Main Conjecture for p-adic
Lie Extensions of Heisenberg Type
of Totally Real Number Fields, 2009
Cornelius Probst, Filtrations of p-adic analytic Galois
groups of local fields, 2008
Christian Rüschoff, Topologische und vollständige
Schiefmonoidringe lokal proendlicher,
eigentlicher Monoide, 2011
Jens Jürgens, Der Lazardisomorphismus, 2011
Konrad Fischer, Iwasawa theory for false Tate extensions of
totally real number fields, 2012
Matthias Kümmerer, Syntomic Cohomology, 2012
Yasin Zähringer, Tamagawa Number Conjecture for
Semi-Abelian Varieties, 2012
Brandon Williams, On elliptic curves with complex
multiplication, L-functions, and p-adic interpolation, 2013
Benjamin Kupferer, (ɸ ,ℾ)-Moduln über
Lubin-Tate-Erweiterungen und
ihre Beschreibung der
Galoiskohomologie, 2015
Federico Calderon, Tate's acyclicity and Kiehl's glueing
property in sheafy adic Banach
rings, 2016
Jonas Belzner, Euler-Poincaré formula and Tate duality for
(ɸ ,ℾ)-modules over the Robba ring with an additional
coefficient field, 2016
Sebastian Damrich, Epsilon-Isomorphisms and Twists, 2018
Saskia Klaus, Analytische Kohomologie, 2018
Rustam Steingart, Frobeniusregularisierung und
Limites L-kristalliner
Darstellungen, 2019
Milan Malcic, Relative Lubin-Tate Groups and
Rigid Character Varieties in
p-adic Fourier Theory, 2019
Max Witzelsperger, Kategorienäquivalenz L-analytischer
Darstellungen und (ɸ ,ℾ)-Moduln
über dem Robba-Ring, 2019
Peter Barth, On the Iwasawa Theory for One-Parameter Families of Motives, 2011
Dmitriy Izychev, Equivariant epsilon-conjecture for unramified twists of Z_p(1), 2012, for some corrections see the corresponding publication under Bibliography
Andreas Riedel, On Perrin-Riou's exponential map and reciprocity laws for (ɸ ,ℾ)-modules, 2013
Aprameyo Pal, Functional Equation of Characteristic Elements of Abelian Varieties over Function Fields, 2013
Ulrich Schmitt, Towards a Twist Conjecture in Non-Commutative Iwasawa Theory, 2014
Christian Rüschoff, Relative algebraische K-Theorie und algebraische zyklische Homologie, 2016
Michael Fütterer, A p-adic L-function with canonical motivic periods for families of modular forms, 2017
Oliver Thomas, On Analytic and Iwasawa Cohomology , 2019
Benjamin Kupferer, Two ways to compute Galois Cohomology using Lubin-Tate (ɸ ,ℾ)-modules, a Reciprocity Law and a Regulator Map, 2020
Steingart, Rustam, Analytic cohomology of families of L-analytic Lubin-Tate (ɸ ,ℾ)-modules, 2022
Malcic, Milan, A Relative Trace Map and its Compatibility with Serre Duality in Rigid Analytic Geometry, 2023
Algebraische Zahlentheorie, Oberwohlfach workshop, 25 Jun - 30 Jun 2023.
Spring School: Non-archimedean Geometry and eigenvarieties: March 6 - 17, 2023
, in Heidelberg
Teoría de Iwasawa, Universidad de los Andes, Bogotá, Agosto 13-17, 2018
Algebraische Zahlentheorie, Oberwohlfach workshop, 24 Jun - 30 Jun 2018.
Iwasawa Theory and Related Topics, Heidelberg, May 14-18, 2018
The Galois group of Q_p as a geometric fundamental group, Schlosshotel Neckarbischofsheim, May 4-8, 2015.
Algebraische Zahlentheorie, Oberwohlfach workshop, 6 Jul - 12 Jul 2014.
Applications of Iwasawa Algebras, Banff International Research Station for Mathematical Innovation and Discovery (BIRS) , March 3-8, 2013.
IWASAWA 2012 - MATCH-Conference, Heidelberg,
July 30 - August 3, 2012
Organized by: Thanasis Bouganis, Otmar Venjakob
CIMPA School 2012: Algebraic Structures, their representation and applications in geometry and non-associative models, March 5-16, Cartagena de Indias
Algebraische Zahlentheorie, Oberwohlfach workshop, 19 Jun - 25 Jun 2011.
Instructional
workshop on the noncommutative main conjectures, Münster, April 25 - May 01,
2011
Festkolloquium Arithmetische Galoisgruppen zum 60. Geburtstag von Prof. Dr. Kay Wingberg, Heidelberg, 14.01.2010-15.01.2010
Algebraische Zahlentheorie, Oberwohlfach workshop, 21 Jun - 27 Jun 2009.
Algebraische Zahlentheorie, Oberwohlfach workshop, 17 Jun - 23Jun 2007.
Workshop: Arithmetische Geometrie, Heidelberg, 8.4.2003-9.4.2003
