Northern California Symplectic Geometry Seminar: The spectral norm in C^0 symplectic topology

Seminar | December 3 | 4-5 p.m. | 383N STANFORD

 Sobhan Seyfaddini, Institut de Mathematiques de Jussieu

 Department of Mathematics

We will show that the spectral norm on the group of Hamiltonian diffeomorphisms, introduced in the works of Viterbo, Schwarz and Oh, is continuous with respect to the $C^0$ topology, when M is symplectically aspherical. This statement was previously proven only in the case of closed surfaces. This has numerous applications one of which is a generalization of the Arnold conjecture for Hamiltonian homeomorphisms.