Mini-Workshop: A Geometric Fairytale full of Spectral Gaps and Random Fruit

  • Joachim Kerner

    Fernuniversität zu Hagen, Germany
  • Matthias Täufer

    Fernuniversität zu Hagen, Germany
  • Pavlo Yatsyna

    Aalto University, Espoo, Finland

Abstract

In many situations, most prominently in quantum mechanics, it is important to understand well the eigenvalues and associated eigenfunctions of certain self-adjoint differential operators. The goal of this workshop was to study the strong link between spectral properties of such operators and the underlying geometry which might be randomly generated. By combining ideas and methods from spectral geometry and probability theory, we hope to stimulate new research including important topics such as Bose–Einstein condensation in random environments.

Cite this article

Joachim Kerner, Matthias Täufer, Pavlo Yatsyna, Mini-Workshop: A Geometric Fairytale full of Spectral Gaps and Random Fruit. Oberwolfach Rep. 19 (2022), no. 4, pp. 3051–3092

DOI 10.4171/OWR/2022/53