Summer School on the Foundations of Geometry in Historical Perspective

Program

All talks will be held in the Leibniz-Saal (E1 05),
Max Planck Institute for Mathematics in the Sciences (Leipzig, Inselstraße 22).

Monday, July 02, 2018
09:00 - 09:15Welcome Coffee & Registration
09:15 - 09:30Welcome Address by Jürgen Jost and Vincenzo De Risi
09:30 - 10:30Vincenzo De Risi (Université Paris-Diderot – CNRS, France)
The Development of Euclidean Axiomatics
10:30 - 10:45Coffee & Tea
10:45 - 11:45Jeremy Gray (The Open University, United Kingdom)
Projective Geometry
11:45 - 12:00Coffee & Tea
12:00 - 13:00Andrew Arana (Université Pantheon-Sorbonne, France)
The delimitation of geometry: a Cartesian perspective
13:00 - 14:00Lunch buffet at the institute
14:00 - 15:00Gerhard Heinzmann (Archives Poincaré, France)
Early Structuralist Roots of Mathematical Understanding. Poincaré’s Philosophy of Geometry Reconsidered I
15:00 - 15:15Coffee & Tea
15:15 - 16:15Victor Pambuccian (Arizona State University, USA)
The true, overlooked significance of Hilbert's Grundlagen der Geometrie
16:15 - 16:30Coffee & Tea
16:30 - 17:30Jürgen Jost (Max Planck Institute for Mathematics in the Sciences, Germany)
Riemannian geometry: its concepts and its developments
Tuesday, July 03, 2018
09:15 - 09:30Welcome Coffee
09:30 - 10:30Jeremy Gray (The Open University, United Kingdom)
Differential Geometry
10:30 - 10:45Coffee & Tea
10:45 - 11:45Jeremy Gray (The Open University, United Kingdom)
The Kleinian view of Geometry
11:45 - 12:00Coffee & Tea
12:00 - 13:00Victor Pambuccian (Arizona State University, USA)
Is geometry algebra?
13:00 - 14:00Lunch buffet at the institute
14:00 - 15:00Vincenzo De Risi (Université Paris-Diderot – CNRS, France)
Logic, Space, and Diagrammatic Inferences
15:00 - 15:15Coffee & Tea
15:15 - 16:15Andrew Arana (Université Pantheon-Sorbonne, France)
The delimitation of geometry: reflections from o-minimality I
16:15 - 16:30Coffee & Tea
16:30 - 17:30Gerhard Heinzmann (Archives Poincaré, France)
Poincaré’s Philosophy of Geometry Reconsidered II
Wednesday, July 04, 2018
09:15 - 09:30Welcome Coffee
09:30 - 10:30Gerhard Heinzmann (Archives Poincaré, France)
Poincaré’s Philosophy of Geometry Reconsidered III
10:30 - 10:45Coffee & Tea
10:45 - 11:45Gerhard Heinzmann (Archives Poincaré, France)
Poincaré’s Philosophy of Geometry Reconsidered IV
11:45 - 12:00Coffee & Tea
12:00 - 13:00Jeremy Gray (The Open University, United Kingdom)
Hilbert’s Axiomatic Geometry
13:00 - 14:00Lunch buffet at the institute
14:00 - 15:00Jürgen Jost (Max Planck Institute for Mathematics in the Sciences, Germany)
Riemannian geometry as the language of theoretical physics in the 20th century
15:00 - 15:15Coffee & Tea
15:15 - 16:15Pierluigi Graziani (Università degli Studi di Urbino Carlo Bo, Italy)
Taxonomies of Geometric Problems
16:15 - 16:30Coffee & Tea
16:30 - 17:30Vincenzo De Risi (Université Paris-Diderot – CNRS, France)
Provability of Axioms
Thursday, July 05, 2018
09:15 - 09:30Welcome Coffee
09:30 - 10:30Andrew Arana (Université Pantheon-Sorbonne, France)
The delimitation of geometry: reflections from o-minimality II
10:30 - 10:45Coffee & Tea
10:45 - 11:45Andrew Arana (Université Pantheon-Sorbonne, France)
The delimitation of geometry: reflections from geometric model theory I
12:00 - 19:00Scientific Excursion to Dresden
Friday, July 06, 2018
09:15 - 09:30Welcome Coffee
09:30 - 10:30Vincenzo De Risi (Université Paris-Diderot – CNRS, France)
The Birth of non-Euclidean Geometry: from Leibniz to Gauss
10:30 - 10:45Coffee & Tea
10:45 - 11:45Vincenzo De Risi (Université Paris-Diderot – CNRS, France)
The Birth of non-Euclidean Geometry: from Leibniz to Gauss
11:45 - 12:00Coffee & Tea
12:00 - 13:00Jürgen Jost (Max Planck Institute for Mathematics in the Sciences, Germany)
More general structures, like metric geometry or set theoretic and algebraic topology
13:00 - 14:00Lunch buffet at the institute
14:00 - 15:00Victor Pambuccian (Arizona State University, USA)
Difficulties arising from attempting to apply Hilbert's 24th problem to geometry
15:00 - 15:15Coffee & Tea
15:15 - 16:15Andrew Arana (Université Pantheon-Sorbonne, France)
The delimitation of geometry: reflections from geometric model theory II
16:15 - 16:30Coffee & Tea
16:30 - 17:30Jeremy Gray (The Open University, United Kingdom)
Geometry, Physics, and Truth
Saturday, July 07, 2018
09:15 - 09:30Welcome Coffee
09:30 - 10:30Victor Pambuccian (Arizona State University, USA)
Pappus and Desargues in the axiomatic foundations of geometry
10:30 - 10:45Coffee & Tea
10:45 - 11:45Victor Pambuccian (Arizona State University, USA)
Pappus and Desargues in the axiomatic foundations of geometry
11:45 - 12:15Brunch buffet at the institute
12:15 - 13:15Jürgen Jost (Max Planck Institute for Mathematics in the Sciences, Germany)
Algebraic geometry and the drive towards abstraction

Date and Location

July 02 - 07, 2018
Max Planck Institute for Mathematics in the Sciences
Inselstraße 22
04103 Leipzig
Germany
see travel instructions

Scientific Organizers

Vincenzo De Risi
CNRS
Laboratoire SPHère
Paris (France)

Jürgen Jost
MPI for Mathematics in the Sciences
Leipzig (Germany)

Administrative Contact

Antje Vandenberg
MPI for Mathematics in the Sciences
Leipzig (Germany)
Contact by Email

11.07.2018, 01:27