Symplectic Weyl laws and their applications
Seminar in Mathematics
Abstract: The classical Weyl law describes the asymptotic behavior of eigenvalues of the Laplace operator. In this talk, I will explain a symplectic analogue of Weyl’s law involving modern Floer-theoretic spectral invariants associated to area-preserving surface maps. I will highlight recent applications of this symplectic Weyl law to problems of dynamical flavor. In particular, I will discuss a question of Smale concerning smooth closing lemmas and a question of Arnold regarding the topological nature of helicity.
Practical information
- Informed public
- Free
- This event is internal
Organizer
- Institute of Mathematics
Contact
- Prof. Maryna Viazovska