Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Seminar Topics in Symplectic Geometry

 

Professor Dr. Maksim Stokic
Uppsala University

 
spricht am
 
Montag, 2. Februar 2026
 
um
 
10:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»C⁰-contact geometry of surfaces in 3-manifolds«

Abstract:
In this talk, I will discuss how surfaces in contact 3-manifolds behave under C⁰-limits of contactomorphisms. I will prove that contact homeomorphisms preserve characteristic foliations: singular points are mapped to singular points, and 1-dimensional leaves are set-wise sent to 1-dimensional leaves on the image surface. As a consequence, regular coisotropic surfaces exhibit C⁰-rigidity. On the other hand, the contact convexity is C⁰-flexible: I will present a construction of a contact homeomorphism that maps a convex 2-torus into a non-convex one. This work is joint with Baptiste Serraille.

 

Hierzu ergeht herzliche Einladung.
Dr. Filip Broćić


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