Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Logo der Mathematisch-Naturwissenschaftlich-Technischen Fakultät der Universität Augsburg

 

Oberseminar Differentialgeometrie

 

Adi Dickstein
Tel Aviv University

 
spricht am
 
Montag, 21. Oktober 2024
 
um
 
16 Uhr s.t.
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»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. Furthermore, we introduce a Wasserstein-type metric on quasi-states and use it for quantitative constraints on symplectic quasi-states. The talk is based on a joint work with Frol Zapolsky.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Kai Cieliebak
 

Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).



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