Wissenschaftliche Mitarbeiter Research LehreBibliography Slides/BeamerDiplomarbeitenDoktorarbeitenEvents Private

Prof. Dr. Otmar Venjakob

Universität Heidelberg
Mathematisches Institut
INF 288, Zimmer 217
D-69120 Heidelberg
Germany

Telefon: +49-(0)6221-54-5697,
Telefax : -5769
Email: venjakob (bitte @mathi.uni-heidelberg.de anfügen)
Sprechzeit:

Sekretariat: Frau Schmoetten-Jonas, Zimmer 229,
Telefon: +49-(0)6221-54-5767,
Telefax : -5769

   Wissenschaftliche Mitarbeiter und Doktoranden
   Andreas Riedel
   Ulrich Schmitt
   Christian Rüschoff
   Michael Fütterer
   Vesale Nicolas
   Sudhanshu Shekhar
   Cristos A. Ruiz Toscano

 
   Ehemalige

   Dr.  Thanasis Bouganis
   Peter Barth
   Danny Arlen de Jesus Gomez Ramirez
   Amala Bhave
   Filippo Nuccio
   Somnath Jha
   Chandrakant Aribam
   Dmitriy Izychev
   Aprameyo Pal

   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

 
ERC 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).

DFG

EU

   Lehre
 
SS 2014
Vorlesung
Lineare Algebra II

Seminar
Darstellungstheorie endlicher Gruppen

Hauptseminar
Relative rational K-theory and cyclic homology
WS 2013/14
Vorlesung (Vertretung: Prof. Dr. Matzat)
Lineare Algebra I (Vertretung: Prof. Matzat)

Hauptseminar
Heegneer Points and Congruent Numbers (M. Witte und A. Riedel)
SS 2013
Vorlesung
p-adische Analysis II

Seminar
Theorie des Anstiegs

Hauptseminar
p-adic Weil II (after Kedlaya)
WS 2012/13
Vorlesung
p-adische Analysis I (Jan Kohlhaase)

Seminar
Formale Gruppen (J. Kohlhaase und A. Riedel)

Hauptseminar
Arithmetische Geometrie (Jan Kohlhaase, ....)
SS 2012
Vorlesung
Darstellungen von Lie Gruppen und Lie Algebren

Seminar
Iwasawa Theorie

Hauptseminar
Main Conjecture for elliptic cusp forms (after Skinner and Urban) .
WS 2011/12
Vorlesung
Lie Algebren und Lie Gruppen I

Seminar
Darstellungstheorie endlicher Gruppen

Hauptseminar (mit Prof. Dr. Schmidt et. al.)
Voevodskys Beweis der Milnor/Bloch/Kato-Vermutung, Programm, Leitfaden
SS 2011
Vorlesung
Algebraischen K-Theorie II

Vorlesung (Dr. Th. Bouganis)
Algebra II

Seminar
Theorie p-adischer Darstellungen nach Fontaine

Hauptseminar
Wiles’ Proof of Iwasawa’s Main Conjecture
WS 2010/11
Vorlesung
Algebraischen K-Theorie I

Vorlesung (Dr. Th. Bouganis)
Codierungstheorie

Seminar
Crystalline cohomology

Hauptseminar
Étale Brauer-Manin is equivalent to descent obstruction
SS 2010
Vorlesung
Forschungssemester

Spezialvorlesung (Dr. Th. Bouganis)
p-adische Lie-Gruppen II

Hauptseminar
Modular Curves and the Eisenstein Ideal
WS 2009/10
Vorlesung
Etale Kohomologie und L-Funktionen

Spezialvorlesung (Dr. Th. Bouganis)
p-adische Lie-Gruppen I

Hauptseminar
The eigencurve

Seminar
Diplomandenseminar
SS 2009
Vorlesung
Algebraische Geometrie II

Spezialvorlesung (Dr. Th. Bouganis)
Abelsche Varietäten II

Hauptseminar
Cup-products in Galois cohomology of number fields

Seminar
Algebraische Gruppen
WS 2008/09
Vorlesung
Algebraische Geometrie I

Spezialvorlesung (Dr. Th. Bouganis)
Abelsche Varietäten

Hauptseminar
Arithmetische Geometrie der unipotenten Fundamentalgruppe [nach Minhyong Kim]

Seminar
Der Satz von Riemann-Roch für globale Körper
SS 2008
Vorlesung
Algebra II

Spezialvorlesung (Dr. Th. Bouganis)
Elliptische Kurven mit komplexer Multiplikation

Hauptseminar
Hida Familien und Große Galoisdarstellungen

Seminar
Algebraische K-Theorie

AG Mannheim-Heidelberg
Kato’s Eulersysteme II
WS 2007/08
Vorlesung
Algebra I

Spezialvorlesung (Dr. Th. Bouganis)
Zyklotomische Iwasawa-Theorie

Hauptseminar
Arithmetik

Seminar
Rationale Punkte auf Elliptischen Kurven

AG Mannheim-Heidelberg
Kato’s Eulersysteme
SS 2007
Vorlesung
Lineare Algebra II

Spezialvorlesung (Dr. Th. Bouganis)
Modulformen und L-Funktionen

Hauptseminar
Fortführung der p-adischen Hodge-Theorie

Proseminar
Darstellungen endlicher Gruppen
WS 2006/07
Vorlesung
Lineare Algebra I

Hauptseminar
Einführung in die p-adische Hodge-Theorie

Seminar
Klassische und p-adische L-Funktionen

   Bibliography

      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)

   Slides/Beamer

      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

   Diplomarbeiten

      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

   Doktorarbeiten

      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 (\phi,\Gamma)-modules, 2013

      Aprameyo Pal, Functional Equation of Characteristic Elements of Abelian Varieties over Function Fields, 2013

 Events
 

      Algebraische Zahlentheorie, Oberwohlfach workshop, 6 Jul - 12 Jul 2014.
      Organized by: Benjamin Howard, Chestnut Hill; Guido Kings, Regensburg; Ramdorai Sujatha, Vancouver; Otmar Venjakob, Heidelberg

Past events

   Private

      Casa Estudio    (Kolumbien, Bogotá, Straßenkinder, ...)


© by Otmar Venjakob, Stand: 13.09.2012