Summer School on the History of Space in Mathematics and Physics

Program

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

 
Monday, July 24, 2023
08:30 - 09:00Welcome Coffee
09:00 - 09:30Jürgen Jost: Welcome Address
09:30 - 10:30Vincenzo De Risi (Laboratoire SPHère, France)
The Birth of Space in the Renaissance
10:30 - 10:45Coffee & Tea
10:45 - 11:45David Marshall Miller (Auburn University, USA)
Representing Space and the Structure of Science
11:45 - 12:00Coffee & Tea
12:00 - 13:00Thomas Ryckman (Stanford University, USA)
Mach
13:00 - 14:00Lunch at the Institute
14:00 - 15:00Jeffrey Weeks (Geometry Games, USA)
The Shape of Space
15:00 - 15:15Coffee & Tea
15:15 - 16:15Claus Kiefer (University of Cologne, Germany)
Concepts of Space in Special and General Relativity
16:15 - 16:30Coffee & Tea
16:30 - 17:30Brigitte Falkenburg (TU Dortmund, Germany)
Kant's Early Cosmology (1755/56)
 
Tuesday, July 25, 2023
09:00 - 09:30Welcome Coffee
09:30 - 10:30Jürgen Jost (Max Planck Institute for Mathematics in the Sciences, Germany)
Riemannian Geometry and its Development
10:30 - 10:45Coffee & Tea
10:45 - 11:45Brigitte Falkenburg (TU Dortmund, Germany)
Kant's Argument of Incongruent Counterparts (1768)
11:45 - 12:00Coffee & Tea
12:00 - 13:00Brigitte Falkenburg (TU Dortmund, Germany)
Kant's Antinomy of Pure Reason (1781)
13:00 - 14:00Lunch at the Institute
14:00 - 15:00Vincenzo De Risi (Laboratoire SPHère, France)
The Leibniz-Clarke Correspondence
15:00 - 15:15Coffee & Tea
15:15 - 16:15Jeffrey Weeks (Geometry Games, USA)
Experiencing Non-Euclidean Space
16:15 - 16:30Coffee & Tea
16:30 - 17:30Jeffrey Weeks (Geometry Games, USA)
Play Billiards in Curved-Space VR
 
Wednesday, July 26, 2023
09:00 - 09:30Welcome Coffee
09:30 - 10:30Thomas Ryckman (Stanford University, USA)
Helmholtz and Poincaré
10:30 - 10:45Coffee & Tea
10:45 - 11:45Brigitte Falkenburg (TU Dortmund, Germany)
From Kant to Cohen and Natorp
11:45 - 12:00Coffee & Tea
12:00 - 13:00Brigitte Falkenburg (TU Dortmund, Germany)
The Role of Intuition in Physics
13:00 - 14:00Lunch at the Institute
14:00 - 15:00Claus Kiefer (University of Cologne, Germany)
Concepts of Space in Quantum Theory and Quantum Gravity
15:00 - 15:15Coffee & Tea
15:15 - 16:15David Marshall Miller (Auburn University, USA)
Celestial Spaces I: Copernicus and the Problem of Centers
16:15 - 16:30Coffee & Tea
16:30 - 17:30David Marshall Miller (Auburn University, USA)
Celestial Spaces II: Gilbert and Kepler and the Problem of Direction
 
Thursday, July 27, 2023
08:30 - 20:00Excursion
 
Friday, July 28, 2023
09:00 - 09:30Welcome Coffee
09:30 - 10:30Jeffrey Weeks (Geometry Games, USA)
Visualizing Four Dimensions
10:30 - 10:45Coffee & Tea
10:45 - 11:45Jürgen Jost (Max Planck Institute for Mathematics in the Sciences, Germany)
The Geometric Formulation of Modern High Energy Physics
11:45 - 12:00Coffee & Tea
12:00 - 13:00Jürgen Jost (Max Planck Institute for Mathematics in the Sciences, Germany)
The Geometry of Data
13:00 - 14:00Lunch at the Institute
14:00 - 15:00David Marshall Miller (Auburn University, USA)
Terrestrial Spaces: Galileo and Inertia
15:00 - 15:15Coffee & Tea
15:15 - 16:15Vincenzo De Risi (Laboratoire SPHère, France)
Space as a Mathematical Structure
16:15 - 16:30Coffee & Tea
16:30 - 17:30Thomas Ryckman (Stanford University, USA)
Neopositivists: Carnap, Reichenbach, Schlick
 
Saturday, July 29, 2023
09:00 - 09:30Welcome Coffee
09:30 - 10:30David Marshall Miller (Auburn University, USA)
Composition and Synthesis: Descarte's Critics and Newton
10:30 - 10:45Coffee & Tea
10:45 - 11:45Thomas Ryckman (Stanford University, USA)
Hermann Weyl I
11:45 - 12:00Coffee & Tea
12:00 - 13:00Thomas Ryckman (Stanford University, USA)
Hermann Weyl II
13:00 - 14:00Lunch at the Institute
14:00 - 15:00Vincenzo De Risi (Laboratoire SPHère, France)
The Discovery of non-Euclidean Geometry
15:00 - 15:15Coffee & Tea
15:15 - 16:15Jeffrey Weeks (Geometry Games, USA)
Geometry of Spacetime
16:15 - 16:30Coffee & Tea
16:30 - 17:30Jürgen Jost (Max Planck Institute for Mathematics in the Sciences, Germany)
The Geometrization of Modern Mathematics

Date and Location

July 24 - 29, 2023
Max Planck Institute for Mathematics in the Sciences
E1 05 (Leibniz-Saal)
Inselstr. 22
04103 Leipzig

Scientific Organizers

Vincenzo De Risi, Laboratoire SPHère, Paris (France) & MPIWG, Germany

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

Administrative Contact

Antje Vandenberg
MPI for Mathematics in the Sciences (Germany)
Contact by Email
31.05.2023, 09:45