ZiF Bielefeld
Room 231 L (Bits 'n' Bytes)
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Finite Projective Ring Geometries:
An Intriguing Emerging Link Between Quantum Information Theory, Black-Hole Physics, and Chemistry of Coupling
Cooperation group at the Centre for Interdisciplinary Research (ZiF), University of Bielefeld (Germany)
August 1st to October 31st, 2009.
Fellows
- Andrea Blunck, University of Hamburg, Germany
- Péter Lévay, Budapest University of Technology and Economics, Hungary
- Michel Planat, Centre National de la Recherche Scientifique, Besançon, France
- Petr Pracna, Czech Academy of Sciences, Prague, Czech Republic
Invited Speakers
- Michael Duff, Imperial College London, United Kingdom
- Thomas Honold, Zhejiang University, Hangzhou, China
- Alexander Kreuzer, University of Hamburg, Germany
- Apostol Vourdas, University of Bradford, United Kingdom
Invited Participants
- Hubert Kiechle, University of Hamburg, Germany
- Harm Pralle, Technical University of Clausthal, Germany
- Péter Vrana, Budapest University of Technology and Economics, Hungary
Organisers
- Principal Organiser: Hans Havlicek, Vienna University of Technology, Austria
- Co-Organiser: Metod Saniga, Astronomical Institute of the Slovak Academy of Sciences, Tatranská Lomnica, Slovakia
Assistance
- Andrea Sanigova, Slovak Academy of Sciences, Tatranská Lomnica, Slovakia
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Lectures
All lectures take place at ZiF Bielefeld, Wellenberg 1, Bielefeld (Germany), Room 231 L (Bits 'n' Bytes).
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Péter Lévay: The Black Hole Analogy and Finite Geometry
August 9th, 2009, 14:00 hrs
August 10th, 2009, 10:00 hrs
August 11th, 2009, 10:00 hrs
Slides (PDF)
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Thomas Honold: Linear Codes and Geometry over Finite Chain Rings
August 18th, 2009, 10:00 hrs
August 19th, 2009, 10:00 hrs
Slides (PDF)
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Andrea Blunck: Jordan Systems and Associated Geometric Structures
August 21st, 2009, 10:00 hrs
August 24th, 2009, 10:00 hrs
August 25th, 2009, 10:00 hrs
Slides (PDF)
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Petr Pracna: Projective Ring Geometries and Role of Coupling in
Molecular Dynamics and Chemistry
October 1st, 2009, 10:00 hrs
October 2nd, 2009, 10:00 hrs
Slides Part 1 (PDF) |
Slides Part 2 (PDF)
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Michael Duff: Overview of Black Hole / Qubit Correspondence
October 5th, 2009, 10:00 hrs
Slides Part 1 (PDF)
Michael Duff: Seven Qubits, Octonions, and the Fano Plane
October 6th, 2009, 10:00 hrs
Slides Part 2 (PDF)
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Alexander Kreuzer: An Introduction to Geometry over Rings
October 8th, 2009, 10:00 hrs
October 9th, 2009, 10:00 hrs
Slides (PDF)
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Hans Havlicek: Dual Polar Spaces and the Geometry of Matrices
October 12th, 2009, 10:00 hrs
October 13th, 2009, 10:00 hrs
October 14th, 2009, 10:00 hrs
Slides (PDF)
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Further Information
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Publications
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H. Havlicek, B. Odehnal, and M. Saniga: Factor-group-generated polar spaces and (multi-)qudits, SIGMA Symmetry Integrability Geom. Methods Appl. 5 (2009), paper 096, 15 pp. (electronic).
Preprint (PDF) | Article (PDF, external link)
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H. Havlicek und M. Saniga: Kooperationsgruppe ›Endliche projektive Ringgeometrien‹, Interview by M. Lenzen, ZiF-Mitteilungen (Center for Interdisciplinary Research, Bielefeld University), 1/2010, 31-33. ISSN: 1611-9614.
Full text (PDF)
- M. Saniga, P. Lévay, M. Planat, and P. Pracna: Geometric hyperplanes of the near hexagon L3 × GQ(2,2), Lett. Math. Phys. 91 (2010), 93-104.
Preprint arXiv:0908.3363 (PDF, external link)
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M. Saniga and P. Pracna: Space versus time: unimodular versus non-unimodular projective ring geometries?, J. Cosmology, 4 (2010), 719-735.
Preprint arXiv:0808.0402 (PDF, external link) | Article (external link)
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H. Havlicek, B. Odehnal, and M. Saniga: Möbius pairs of simplices and commuting Pauli operators, Math. Pannonica 21 (2010), 115-128.
Preprint (PDF) | Preprint arXiv:0905.4648 (PDF, external link)
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A. Blunck and H. Havlicek: Projective lines over Jordan systems and geometry of Hermitian matrices, Linear Algebra Appl. 433 (2010), 672-680.
Preprint (PDF) | Preprint arXiv:1303.7076 (PDF, external link)
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M. Saniga, R.M. Green, P. Lévay, P. Vrana, and P. Pracna: The Veldkamp space of GQ(2,4), Int. J. Geom. Methods Mod. Phys. 7 (2010), 1133-1145.
Preprint arXiv:0903.0715 (PDF, external link)
- M. Planat, P. Lévay, and M. Saniga: Balanced tripartite entanglement, the alternating group A4 and the Lie algebra sl(3,ℂ) ⊗ u(1), Rep. Math. Phys. 67 (2011), 39-51.
Preprint arXiv:0912.0172 (PDF, external link)
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M. Saniga: On the Veldkamp space of GQ(4,2), Int. J. Geom. Methods Mod. Phys. 8 (2011), 39-47.
Preprint arXiv:1001.0659 (PDF, external link)
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A. Blunck, P. Lévay, M. Saniga, and P. Vrana: Invertible symmetric 3 × 3 binary matrices and GQ(2,4), Linear Multilinear Algebra, 60 (2012), 1143-1154.
Preprint arXiv:1009.1768 (PDF, external link)
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H. Havlicek, B. Odehnal, and M. Saniga: On invariant notions of Segre varieties in binary projective spaces, Des. Codes Cryptogr. 62 (2012), 343-356.
Preprint (PDF) | Preprint arXiv:1006.4492 (PDF, external link)
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R.M. Green and M. Saniga: The Veldkamp space of the smallest slim dense near hexagon, Int. J. Geom. Methods Mod. Phys. 10 (2013), 1250082 (15 pages).
Preprint arXiv:0908.0989 (PDF, external link)
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Quick Links
Geometry and Quantum Theory
Andrea Blunck
Hans Havlicek
Sitemap
External Links
Metod Saniga, Slovak Academy of Sciences
Centre for Interdisciplinary Research, Bielefeld, Germany
Poster
Finite Ring Geometries
(PDF)
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