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.
• Audience: IMPRS students (mandatory in their first year), Phd students, postdocs

IMPRS Ringvorlesung Part I: Introduction to Random Matrices

• Lecturer: Alexey Bufetov
• Date and time:
  • Thursday April 13 (please note: in room G3 10!), 20, 27 and May 4
  • from 10.30 - 12.00 o'clock
• Room: MPI MiS E2 10

Abstract

By now Random Matrices is the large research field with connections to most of mathematics. In this course we will prove a foundational result in the field — Wigner‘s theorem about eigenvalues of a random symmetric / Hermitian matrix — and briefly discussseveral other results.

IMPRS Ringvorlesung Part II: Geometry of Feynman Integrals

• Lecturer: Simon Telen
• Date and time:
  • Thursday May 11, 25 and June 1, 8
  • from 10.30 - 12.00 o'clock
• Room: MPI MiS E2 10

Abstract

In this lecture series, we study a class of integrals which appears under different names in the literature: generalized Euler integrals, hypergeometric integrals, or Euler-Mellin integrals. These have gained recent interest because of their application in particle physics, where they appear as Feynman integrals. We highlight geometric aspects and computational tools from nonlinear algebra. Along the way, we will encounter convex polytopes, critical points, very affine varieties and more.

Other recommended lectures

• at the Max Planck Institute