Sprecher:
Stefan Hollands

Koordinator:
Jörg Lehnert

Addresse:
Inselstraße 22
04103 Leipzig
Deutschland

Kontakt:
+49(0)341-9959-641
+49(0)341-9959-658
 IMPRS

Courses in the Winter Semester 2022/2023

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 (due to Public holiday!) 1.11.: 10.30 - 12.00
      • Monday 7.11.: 10.30 - 12.00 (in room G3 10)
      • 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 (in room G3 10)
      • 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: tba

    General information

    • Lecturer: Dejan Gajic
    • Date and time: tba
    • Room: MPI MiS, Leibniz-Hörsaal
    • Audience: IMPRS students (mandatory in their first year), Phd students, postdocs

    Other recommended lectures

    25.10.2022, 10:17