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- Department of Mathematics
- Speaker
- Adi Dickstein
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- 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.