Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Seminar Topics in Symplectic Geometry

 

M. Sc. Francesco Ruscelli
Universität Heidelberg

 
spricht am
 
Montag, 5. Mai 2025
 
um
 
10:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Introduction to Anosov flows: a symplectic viewpoint«

Abstract:
In 1995 Mitsumatsu observed that Anosov flows on 3-manifolds give rise to bicontact structures, that is pairs of oppositely oriented contact structures intersecting transversely along the direction of the flow. This construction was later explored by Eliashberg-Thurston and, more recently, Hozoori and Massoni, who showed a complete correspondence between Anosov flows and (a special class of) bicontact structures. These can be used to produce Liouville manifolds whose Liouville structure only depends on the homotopy class (and conjecturally on the orbit equivalence class) of the Anosov flow. The study of these objects and their symplectic invariants was recently started by Cieliebak-Lazarev-Massoni-Moreno. In this talk we are going to give an overview of this novel approach to hyperbolic dynamics with particular emphasis on nontransitive Anosov flows.

 

Hierzu ergeht herzliche Einladung.
Prof. Dr. Kai Cieliebak



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