• Lecturer: Alexey Bufetov, Simon Telen
• Date: Thursdays April 13 (room G3 10!), 20, 27; May 4, 11, 25; June 1, 8: always from 10.30-12.00
• Room: MPI MiS E2 10

Abstract

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.

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