TU Berlin Fakultät II
Institut für Mathematik
     

Geometry I

       

  

Geometry Group

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Vergangene Semester

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Winter Semester 2006/07

Lectures Alexander Bobenko Mo 8:30-10:00 MA 144
Mo 12:15-13:45 MA 141
Tutorial A Ivan Izmestiev Mi 10:15-11:45 MA 848
Tutorial B Boris Springborn Do 12:15-13:45 MA 848

This is a course of the Berlin Mathematical School held in English (unless all students speak German and everybody prefers the course in German).

News

[26 Jan 07]
Someone alerted us of a bad mistake in Exercise 2 on Sheet 11. Thanks! A corrected version of Sheet 11 is now online.
[15 Jan 07]
There will be no lecture on Monday, Jan 22, at 8:30. (The lecture at 12:15 will take place.)

Contents

Projective geometry, quadrics, incidence theorems, affine geometry, non-euclidean geometries, spherical and hyperbolic geometries, Möbius geometry, Lie geometry.

Continuation

Geometry II (Discrete Differential Geometry) in the summer semester 2007.

Requirements for passing

Achieve a total of at least 50% of the possible marks in the weekly homework exercises.

Exercise sheets

ftp://ftp.math.tu-berlin.de/pub/Lehre/GeometryI/WS06

Literature

  • V. V. Prasolov & V. M. Tikhomirov. Geometry. Translations of Mathematical Monographs, 200. American Mathematical Society, Providence, RI, 2001.
  • Nigel Hitchin's lecture notes on Projective Geometry.
  • Felix Klein. Vorlesungen über höhere Geometrie. Grundlehren der Mathematischen Wissenschaften, 22. Springer-Verlag, Berlin, 1968.
  • Wilhelm Blaschke. Projektive Geometrie. Birkhäuser, Basel, 1954.
  • Dmitry Fuchs & Serge Tabachnikov. Mathematical Highlights: Thirty Lectures on Classic Mathematics. Preprint.
  • Marcel Berger. Geometry. I & II. Springer-Verlag, Berlin, 1987.
  • Michèle Audin. Geometry. Springer-Verlag, Berlin, 2003.
  • H. S. M. Coxeter. Non-Euclidean Geometry. Mathematical Association of America, Washington, DC, 1998.
  • J. W. Cannon, W. J. Floyd, R. Kenyon, R. Parry. Hyperbolic Geometry. In: S. Levy (editor). Flavors of Geometry. Mathematical Sciences Research Institute Publications 31. Cambridge University Press, Cambridge, 1997. Pages 59-115. Download PDF from the MSRI.

Boris Springborn . 26.01.2007.