Information Geometry and its Applications III

Abstract Jürgen Jost

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Jürgen Jost  (Max Planck Institute for Mathematics in the Sciences, Germany)
Tuesday, August 03, 2010, room Hörsaal 1
Mathematical aspects of information geometry

In this talk, I shall explore the connections of information geometry with various mathematical fields. The Fisher metric is seen as the natural metric on an infinite dimensional projective space. This also yields a geometric interpretation of Green functions (propagators) of quantum field theory. In finite dimensional situations, the Fisher metric induces a pair of dual affine structures. Such a geometry is called Kähler affine or Hessian. I shall define a natural differential operator associated to such a structure, the affine Laplacian, and discuss an existence theorem for affine harmonic mappings.

 

Date and Location

August 02 - 06, 2010
University of Leipzig
Augustusplatz
04103 Leipzig
Germany

Scientific Organizers

Nihat Ay
Max Planck Institute for Mathematics in the Sciences
Information Theory of Cognitive Systems Group
Germany
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Paolo Gibilisco
Università degli Studi di Roma "Tor Vergata"
Facoltà di Economia
Italy
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František Matúš
Academy of Sciences of the Czech Republic
Institute of Information Theory and Automation
Czech Republic
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Scientific Committee

Shun-ichi Amari
RIKEN
Brain Science Institute, Mathematical Neuroscience Laboratory
Japan
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Imre Csiszár
Hungarian Academy of Sciences
Alfréd Rényi Institute of Mathematics
Hungary
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Dénes Petz
Budapest University of Technology and Economics
Department for Mathematical Analysis
Hungary
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Giovanni Pistone
Collegio Carlo Alberto, Moncalieri
Italy
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Administrative Contact

Antje Vandenberg
Max Planck Institute for Mathematics in the Sciences
Contact by Email
Phone: (++49)-(0)341-9959-552
Fax: (++49)-(0)341-9959-555

05.04.2017, 12:42