Rolf Farnsteiner               Professor für Mathematik

Office/Raum:       LMS4-321         Sprechstunde:      Dienstag 14:00-15:00 und nach Vereinbarung           Phone: ++49-(0)431-880-2787         Fax: ++49-(0)431-880-4091         Email: rolf at math.uni-kiel.de

Teaching

Winter 2009

• Algebra I;  Di 12:15-13:45, Fr, 10:15 - 11:45 jeweils in CAP3, Hörsaal 3
• Übungen zur Algebra I;  Mo, 12:15 - 13:45, LMS4 - R.117, WSP3 - Seminarraum 1; Mo, 14:15 - 15:45, OS75/S2 - R.23; Mo, 16:15 - 17:45, LMS4 - R.117; Di, 14:15 - 15:45, LMS4 - R.117; 
• Homologische Algebra; Do, 12:45 - 14:15, LMS4 - R.124
• Übungen zur Homologischen Algebra; Mo, 16:15 - 17:45 in LMS4 - R.116.
• Oberseminar Lie- und Darstellungstheorie; Fr, 14:00 - 15:30, LMS4 - R.116

Summer 2009

• Lineare Algebra II  Do. 14:15-15:45 und Fr. 10:15-11:45 jeweils in CAP3, Hörsaal 2
• Representation Theory  Th. 16:30-18:00 in LMS4-R.117 (Lectures), Th. 10:15-11:45 in LMS4-R.312 (Tutorials)
• Seminar on Schur Algebras Fr. 14:15-15:45 in LMS4-R.325
• Mercator Seminar We. 16:15-17:45 in LMS4-R.312

Visitors

2010

• Gil Vernik (University of Haifa) has obtained a Fellowship from the Minerva Foundation. He will visit Kiel for two years, starting February 1, 2010.

• Bin Shu (East China Normal University, Shanghai) is scheduled to visit Kiel April 1st to May 31st, 2010.

2009

• Stephen Doty (Loyola University Chicago) has been awarded a Mercator-Professorship by the DFG. He will come to Kiel May 6th to July 31st.

Research 

The Research Team

Fields of Interest

Algebraic Lie Theory and Representation Theory

• Algebraic Groups
• Modular Lie Algebras
• Universal Enveloping Algebras
• Representations of Associative Algebras (Auslander-Reiten Theory)
• Module Varieties(Support Varieties, Rank Varieties, p-Points)

Homological Algebra

• Homology of Associative Algebras
• Ordinary and Restricted Cohomology of Restricted Lie Algebras

Project      Combinatorial and Geometric Aspects of the Representation Theory of Finite Group Schemes (pdf-file)

Publications and Lectures

Preprints and Recent Papers

• Geometric Methods in the Representation Theory of Cocommutative Hopf Algebras. (ps-file)
  SFB Preprint E00-001, Universität Bielefeld.

• Block Representation Type of Frobenius Kernels of Smooth Groups. (ps-file) (pdf-file)
  J. reine angew. Math. 586 (2005), 45-69

• Auslander-Reiten Components for G₁T-Modules. (ps-file) (pdf-file)
  J. Algebra Appl. 4 (2005), 739-759

• The Tame Infinitesimal Groups of odd Characteristic. (with Andrzej Skowronski) (ps-file)(pdf-file)
  Adv. Math. 205 (2006), 229-274  

• Polyhedral Groups, McKay Quivers, and the Finite Algebraic Groups with Tame Principal Blocks. (ps-file), (pdf-file)
  Invent. math. 166 (2006), 27-94

• Tameness and Complexity of Finite Group Schemes. (ps-file), (pdf-file)
  Bull. London Math. Soc. 39 (2007), 63-70

• Galois Actions and Blocks of Tame Infinitesimal Group Schemes. (with Andrzej Skowronski) (ps-file) (pdf-file)
  Trans. Amer. Math. Soc. 359 (2007), 5867-5898

• Support Spaces and Auslander-Reiten Components. (ps-file), (pdf-file)
  Contemp. Math. 442 (2007), 61-87

• Group-Graded Algebras, Extensions of Infinitesimal Groups, and Applications. (ps-file), (pdf-file)
  Transform. Groups 14 (2009), 127-162

• Lie algebras with a Coalgebra Splitting. (ps-file), (pdf-file)
  Algebr. Represent. Theory (to appear)

• Support Varieties, AR-Components and Good Filtrations. (with Gerhard Röhrle) (pdf-file)
  Math. Z. (to appear)

• Combinatorial and Geometric Aspects of the Representation Theory of Finite Algebraic Groups ( pdf-file)
  Advanced Lectures in Mathematics (to appear)

• Complexity, Periodicity and One-Parameter Subgroups (pdf-file)

• Jordan Types for Indecomposable Modules of Finite Group Schemes (pdf-file)

Publications 1999-2004

Lectures

• Selected Topics in Representation Theory (Lectures by P. Fahr, R. Farnsteiner, L. Hille, A. Holtmann, C.M. Ringel and R. Waldmüller)

• Conference on Frobenius Algebras and Related Topics, Torun, September 2003.
  Lecture Series: ''Subgroup Varieties and Representations of Infinitesimal Groups" (pdf-file)

• University of Bielefeld, April 2007
  Lecture Series: "Support Varieties, p-Points and Jordan Type" (pdf-file)

• Isaac Newton Institute Cambridge, March 2009
  Lecture: "Support Spaces, Jordan Types and Indecomposable Modules" (pdf-file)

• University of Bielefeld, April 2009
  Lecture Series: "Support Varieties, AR-Components and Good Filtrations" (pdf-file)

Links

Meetings in Kiel

• 13th NWDR Workshop June 5 - June 6, 2009

Representation Theory Web-Sites

• fdlist              (Information on Conferences, Places, People and more) 
• BIREP          (Representation Theory of Algebras at Bielefeld, the research group of Claus Michael Ringel)

Links to Homepages of some Colleagues

Last update: January 23, 2010