Symplectic and Poisson Geometry Seminar
Mar 9, 2026 1:00 pm
159 Henry Administration Building
- Sponsor
- Department of Mathematics
- Speaker
- Adi Dickstein
- Originating Calendar
- General Events - Department of Mathematics
Speaker: Adi Dickstein
Title: Symplectic vs. topological quasi-states
Abstract: Topological quasi-states are special functionals on the algebra of continuous functions which are linear on single-generated subalgebras. They trace their origins to the von Neumann axioms of quantum mechanics. On symplectic surfaces, every topological quasi-state is symplectic, i.e., linear on Poisson-commutative subalgebras. We discuss the failure of this phenomenon in higher dimensions based on the study of symplectic embeddings of polydiscs. The talk is based on a joint work with Frol Zapolsky.