Due to the rather broad spectrum of topics within the IMPRS, the curriculum consists of a core curriculum to be attended by all students and a variety of more specialized lectures and courses. The heart of our teaching program certainly is the Ringvorlesung. Each semester the Ringvorlesung focuses on one field and is usually delivered by scientific members of the IMPRS who introduce different approaches and visions within this field.

Important information

• Videos from all lectures: Every lecture will be recorded and can be viewed later. For more info, streaming and download see the media WWW page at the MPI MIS.

IMPRS Ringvorlesung Part I: "Multimarginal Optimal Transport and Applications"

General information

• Lecturer: Tobias Ried
• Date and time:
  • Monday 24.10.: 10.30 - 12.00
  • Tuesday 1.11.: 10.30 - 12.00
  • Monday 7.11.: 10.30 - 12.00
  • Monday 14.11.: 10.30 - 12.00
• Room: MPI MiS, Leibniz-Hörsaal
• Audience: IMPRS students (mandatory in their first year), Phd students, postdocs

Abstract

Multimarginal optimal transport is a natural generalisation of the classical optimal transport problem. Recently, it received quite some attention due to its applications in density functional theory and statistical learning. In the four lectures I want to introduce the problem, sketch the main existence results and structural properties of optimisers, and highlight some of the applications. The focus will be more on conceptual questions instead of full proofs, and making connections to the many areas of mathematics and applications that multimarginal optimal transport appears in.

IMPRS Ringvorlesung Part II: "Discrete Ricci Curvature"

General information

• Lecturer: Florentin Münch
• Date and time:
  • Monday 21.11.: 10.30 - 12.00
  • Monday 28.11.: 10.30 - 12.00
  • Monday 5.12.: 10.30 - 12.00
  • Monday 12.12.: 10.30 - 12.00
• Room: MPI MiS, Leibniz-Hörsaal
• Audience: IMPRS students (mandatory in their first year), Phd students, postdocs

Abstract

The lecture aims to give an overview about discrete Ricci curvature notions, particularly, Forman, Ollivier, Bakry Emery, and entropic curvature. We will use a unified approach to the four curvature notions using the Bochner formula and gradient estimates for the heat equation. The main goal is to give a good intuition about the curvature, and to this end, we will calculate the curvature of many examples, and particularly, your favorite graphs.

IMPRS Ringvorlesung Part III: "The Einstein Equations: Initial data and dynamics"

General information

• Lecturer: Dejan Gajic and Stefan Czimek
• Date and time:
  • Monday 06.02.2023: 10.30 - 12.00
  • Monday 13.02.2023: 10.30 - 12.00
  • Monday 20.02.2023: 10.30 - 12.00
  • Monday 27.02.2023: 10.30 - 12.00
• Room: MPI MiS, Leibniz-Hörsaal
• Audience: IMPRS students (mandatory in their first year), Phd students, postdocs

Other recommended lectures

• at the Max Planck Institute