The Spectral Norm, Rigidity and Related Phenomena in Hamiltonian Dynamics

Explore the properties and applications of the spectral norm in Hamiltonian diffeomorphisms in this conference talk. Delve into the behavior of the spectral norm under iterations and its connections to invariant sets, Hamiltonian pseudo-rotations, rigidity, and the strong closing lemma. Learn about recent research findings based on joint work with Erman Çineli and Viktor Ginzburg. Recorded during the thematic meeting "From smooth to C⁰ symplectic geometry: topological aspects and dynamical implications" at the Centre International de Rencontres Mathématiques in Marseille, France, this talk offers insights into the importance of the spectral norm in dynamics and its nontrivial applications.