IMPRS-Ringvorlesung: Summer semester 2023
Abstract
About this lecture
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.
Part 1 - Introduction to Random Matrices
Lecturer: Alexey Bufetov
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 discuss several other results.
Part 2 - Geometry of Feynman Integrals
Lecturer: Simon Telen
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.
Date and time info
Thursdays April 13, 20, 27; May 4, 11, 25; June 1, 8: always from 10.30-12.00
Links
- A. Bufetov I, Video (1080p)
- A. Bufetov I, Video (720p)
- A. Bufetov II, Video (1080p)
- A. Bufetov II, Video (720p)
- A. Bufetov III, Video (1080p)
- A. Bufetov III, Video (720p)
- A. Bufetov IV, Video (1080p)
- A. Bufetov IV, Video (720p)
- S. Telen I, Video (1080p)
- S. Telen I, Video (720p)
- S. Telen II, Video (1080p)
- S. Telen II, Video (720p)
- S. Telen III, Video (1080p)
- S. Telen III, Video (720p)
- S. Telen IV, Video (1080p)
- S. Telen IV, Video (720p)
