Arbeitsgruppe Funktionalanalysis

29th Internet Seminar: Eventual Positivity

Virtual lecturers: 

  • Sahiba Arora (Leibniz Universität Hannover)
  • Jochen Glück (Bergische Universität Wuppertal)
  • Jonathan Mui (Bergische Universität Wuppertal)

Three phases:

  • Lecture phase: October 2025 - February 2026
  • Project phase: February 2026 - June 2026
  • Workshop: 8th - 12th June 2026 in Wuppertal

Contents (preliminary):
1. Positive matrices and matrix semigroups
2. Eventual positivity in finite dimensions
3. Unbounded operators and their spectral theory
4. Banach lattices and the classical maximum principle
5. Eventual positivity of resolvents
6. Uniformly eventually positive resolvents: a characterization
7. An introduction to (positive) C_0-semigroups
8. Eventually positive semigroups
9. Convergence to equilibrium
10. Characterizations of eventually positive semigroups
11. Perturbation theory
12. Irreducibility
13. Local eventual positivity   
14. Local eventual positivity on unbounded domains

Poster of the 29th Internet Seminar