Prof. Dr. Peter Fiebig
Prof. Dr. Peter Fiebig
Department Mathematik
Professur für Mathematik (Algebra und Geometrie) (Prof. Dr. Fiebig)
Cauerstraße 11
91058 Erlangen
- Telefon: +49 9131 85-67018
- Faxnummer: +49 9131 85-67020
- E-Mail: fiebig@mi.uni-erlangen.de
- Modulare Darstellungstheorie algebraischer Gruppen
- Darstellungstheorie affiner Kac-Moody Algebren im kritischen Level
- Dualitäten in Darstellungstheorie und Geometrie
- Fabio Lischka
11th Seminar on Conformal Field Theory, Erlangen, Oct. 19, 2018
10th Seminar on Conformal Field Theory, RIMS, Kyoto, Japan, Apr 23 – Apr 27, 2018
Geometry and Representation Theory of Algebraic Groups , Physikzentrum Bad Honnef, March 5. – March 9, 2018
Darmstadt-Erlangen-Freiburg seminar on Conformal Field Theory, Erlangen, July 7, 2017
Lecture series on Moment graphs in representation theory, Universität Padua, Italy, Feb. 20 – March 16, 2017
Sheaves and modular representations of reductive groups, AIM-Workshop, San Jose, California, USA, March 28-April 1, 2016
Geometric and Categorical Representation Theory Konferenz, Mooloolaba, Queensland, Australien, December 14-18, 2015
Shanghai Conference on Representation Theory, Shanghai, China, December 7-11, 2015
Lie Theory Workshop, Baton Rouge, USA, November 7/8, 2015
DMV-Konferenz 2015, Hamburg, September 21-25, 2015
Representations of Lie Algebras, Sommerschule, Marienheide, September 7-11, 2015
LMS-CMI Research School and workshop on Algebraic Lie theory and representation theory, Glasgow and Edinburgh, August 25-September 5, 2014
MSRI program Geometric Representation Theory, Berkeley, USA, August-December 2014
RIMS Project 2014 Geometric Representation Theory, Kyoto, Japan, July 2014-March 2015
Conference and Summer School on Representation Theory, Cargese, Corsica, June 16-27, 2014
Lectures on modular representations of algebraic groups, Chennai, India, October 7-18, 2013
Summer School on Category O, Freiburg, August 6-9, 2013
Perverse sheaves in Representation Theory, Besse, France, June 24-27, 2013
Gradings and Decomposition Numbers, Stuttgart, Germany, September 24-28, 2012
Lie Algebras and Applications, Uppsala, Sweden, September 5-9, 2012
Schubert Calculus, Osaka, Japan, July 23-27, 2012
Summer School and Workshop on Lie Theory and Representation Theory III, Shanghai, China, June 9-29, 2012
- Lineare Algebra I: Wintersemester 2011/12: pdf
- Lineare Algebra II: Sommersemester 2012: pdf
- Algebra II: Ringe und Moduln im Wintersemester 2009/10: pdf
- Moment graphs in representation theory and topology, Vortragsreihe in Köln, September/Oktober 2009: pdf (englisch)
- Vorlesung zu Bruhatgraphen im Wintersemester 2008/09: pdf (englisch)
- Darstellungstheorie von Lie-Algebren im Wintersemester 2012/13: pdf
- Algebra im Wintersemester 2010: Gruppen, Ringe, Körper, Galois-Theorie und Transzendenz von Pi: pdf
- Lecture 1, Representations of algebraic groups: pdf
- Lecture 2, Representations of modular Lie algebras: pdf
- Lecture 3, Steinberg’s tensor product theorem and Lusztig’s conjecture: pdf
- Lecture 4, Kazhdan-Lusztig theory: pdf
- Lecture 5, The modular multiplicity conjecture and periodic polynomials: pdf
- Lecture 6, Moment graphs: pdf
- Lecture 7, Perverse sheaves and parity sheaves: pdf
- Lecture 8, Proofs of multiplicity conjectures: pdf
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Quantum tilting modules over local rings
In: Journal of the London Mathematical Society-Second Series (2023)
ISSN: 0024-6107
DOI: 10.1112/jlms.12714
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PERIODICITY FOR SUBQUOTIENTS OF THE MODULAR CATEGORY 𝒪
In: Transformation Groups (2022)
ISSN: 1083-4362
DOI: 10.1007/s00031-022-09770-4
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Localization of IC-complexes on Kashiwara's flag scheme and representations of Kac–Moody algebras
In: Indagationes Mathematicae (2021)
ISSN: 0019-3577
DOI: 10.1016/j.indag.2021.06.008
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Lefschetz operators, Hodge-Riemann forms, and representations
In: International Mathematics Research Notices (2020)
ISSN: 1073-7928
DOI: 10.1093/imrn/rnaa224
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Sheaves on the alcoves and modular representations I
In: Transformation Groups (2020)
ISSN: 1083-4362
DOI: 10.1007/s00031-020-09563-7
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Sheaves on the alcoves and modular representations II
In: Transformation Groups (2020)
ISSN: 1083-4362
DOI: 10.1007/s00031-020-09562-8
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Character, Multiplicity, and Decomposition Problems in the Representation Theory of Complex Lie Algebras
In: Giovanni Falcone (Hrsg.): Lie Groups, Differential Equations and Geometry. Advances and Surveys., Springer International Publishing, 2017 (UNIPA Springer Series)
ISBN: 978-3-319-62180-7
DOI: 10.1007/978-3-319-62181-4
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Subquotient categories of the affine category O at the critical level
In: Henning Krause, Peter Littelmann, Gunter Malle, Karl-Hermann Neeb, Christoph Schweigert (Hrsg.): Representation Theory - current Trends and Perspectives, 2017, S. 233 - 253 (Series of Congress Reports)
ISBN: 978-3-03719-171-2
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Moment graphs in representation theory and geometry
In: Hiroshi Naruse, Takeshi Ikeda, Mikiya Masuda, Toshiyuki Tanisaki (Hrsg.): Schubert Calculus - Osaka 2012, 2016, S. 75 - 96 (Advanced Studies in Pure Mathematics, Bd.71)
ISBN: 978-4-86497-038-9
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The combinatorial category of Andersen, Jantzen and Soergel and filtered moment graph sheaves
In: Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg 86 (2016), S. 201-212
ISSN: 0025-5858
DOI: 10.1007/s12188-016-0133-6
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Parity sheaves, moment graphs and the p-smooth locus of Schubert varieties
In: Annales de l'Institut Fourier 64 (2014), S. 489-536
ISSN: 0373-0956
DOI: 10.5802/aif.2856
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On the subgeneric restricted blocks of affine category O at the critical level
In: Kenji Iohara, Sophie Morier-Genoud, Bertrand Rémy (Hrsg.): Symmetries, Integrable Systems and Representations, Springer New York LLC, 2013, S. 65-84 (Springer Proceedings in Mathematics & Statistics, Bd.40)
ISBN: 9781447148623
DOI: 10.1007/978-1-4471-4863-0_4
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An upper bound on the exceptional characteristics for Lusztig's character formula
In: Journal für die reine und angewandte Mathematik (2012), S. 1-31
ISSN: 0075-4102
DOI: 10.1515/CRELLE.2011.170
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On the restricted projective objects in the affine category O at the critical level
In: Contemporary Mathematics 565 (2012), S. 55-70
ISSN: 0271-4132
DOI: 10.1090/conm/565
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On the restricted Verma modules at the critical level
In: Transactions of the American Mathematical Society 364 (2012), S. 4683-4712
ISSN: 0002-9947
DOI: 10.1090/S0002-9947-2012-05467-5
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The linkage principle for restricted critical level representations of affine KacMoody algebras
In: Compositio Mathematica 148 (2012), S. 1787-1810
ISSN: 0010-437X
DOI: 10.1112/S0010437X12000395
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Sheaves on affine Schubert varieties, modular representations, and Lusztig's conjecture
In: Journal of the American Mathematical Society 24 (2011), S. 133-181
ISSN: 0894-0347
DOI: 10.1090/S0894-0347-2010-00679-0
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Lusztig's conjecture as a moment graph problem
In: Bulletin of the London Mathematical Society 42 (2010), S. 957-972
ISSN: 0024-6093
DOI: 10.1112/blms/bdq058
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The multiplicity one case of Lusztig's conjecture
In: Duke Mathematical Journal 153 (2010), S. 551-571
ISSN: 0012-7094
DOI: 10.1215/00127094-2010-031
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Sheaves on moment graphs and a localization of Verma flags
In: Advances in Mathematics 217 (2008), S. 683-712
ISSN: 0001-8708
DOI: 10.1016/j.aim.2007.08.008
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The combinatorics of Coxeter categories
In: Transactions of the American Mathematical Society 360 (2008), S. 4211-4233
ISSN: 0002-9947
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Kazhdan-Lusztig combinatorics via sheaves on Bruhat graphs
In: Contemporary Mathematics 423 (2007), S. 195-204
ISSN: 0271-4132
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The Combinatorics of Category O over symmetrizable Kac-Moody Algebras
In: Transformation Groups 11 (2006), S. 29-49
ISSN: 1083-4362
DOI: 10.1007/s00031-005-1103-8
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Centers and translation functors for category O over symmetrizable Kac-Moody algebras
In: Mathematische Zeitschrift 243 (2003), S. 689-717
ISSN: 0025-5874
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Zentren deformierter Darstellungskategorien und Verschiebungsfunktoren (Dissertation, 2001)
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