Symmetries in Hamiltonian systems and their impact on ODE and PDE problems

28.04. bis 28.04.2022, 14:00-15:30  –  C6H05 Tübingen, 2.09.2.22 Campus Golm
Geometric Analysis, Differential Geometry and Relativity

Sonja Hohloch

Hamiltonian systems are an important class of dynamical systems in mathematics, physics, and biology. In this talk, we will explain the impact and ramifications of an underlying S^1-symmetry on the meaning and applications of Hamiltonian systems in geometry and analysis. Our examples reach from integrable ODE problems to bubbling questions of PDEs.