2022/2023🔗
Stanisław Janeczko🔗
Date: 25th of April 2023
Title: Symplectic maps and relations (continuation)
Stanisław Janeczko🔗
Date: 18th of April 2023
Title: Symplectic maps and relations
Wojciech Domitrz🔗
Date: 21th of March 2023
Title: Contact of surfaces in R⁴ with holomorphic curves and singularities of Gauss map components
Marcin Zubilewicz🔗
Date: 24th of January 2023
Title: Geometric condition for local triviality of bi-Lagrangian structures (continuation)
Abstract: We introduce a certain construction which allows us to characterize bi-Lagrangian manifolds with a flat canonical connection without referring to the connection itself. It turns out that one can probe the curvature of such manifolds using a geometric invariant of its 2-dimensional symplectic submanifolds called "reflection holonomy", inspired by the works of W. Blaschke, G. Bol and G. Thomsen on planar 3-webs. The aim of the talk is to define this invariant and to show how its triviality leads to the local triviality of the bi-Lagrangian structure under consideration.
Marcin Zubilewicz🔗
Date: 10th of January 2023
Title: Geometric condition for local triviality of bi-Lagrangian structures
Abstract: We introduce a certain construction which allows us to characterize bi-Lagrangian manifolds with a flat canonical connection without referring to the connection itself. It turns out that one can probe the curvature of such manifolds using a geometric invariant of its 2-dimensional symplectic submanifolds called "reflection holonomy", inspired by the works of W. Blaschke, G. Bol and G. Thomsen on planar 3-webs. The aim of the talk is to define this invariant and to show how its triviality leads to the local triviality of the bi-Lagrangian structure under consideration.
Federico Sánchez-Bringas🔗
Universidad Nacional Autónoma de México
Date: 25th of October 2022
Title: On the Branch Points of Isothermic Surfaces in Rⁿ, n=3,4
Abstract: We study branch points of an immersion of an Isothermic surface into Rⁿ, n=3,4 using the Enneper-Weierstrass representation of the immersion. Generically, these points depend exclusively on the Gauss map. In this situation, we define invariants that determine their emergence and location. We find branch points that do not depend on the Gauss map. They occur in the models of Isothermic branched immersions.
Wojciech Domitrz🔗
Date: 11th of October 2022
Title: On singularities of the Gauss map components of surfaces in R⁴