2025/2026🔗
Izabella Konicer🔗
Warsaw University of Technology
Date: 2025 November 25th
Title: Asymmetrical symmetry
Abstract: In this lecture, we mainly address the conditions for reconstructing a convex polygon with parallel opposite sides from its so-called defects of symmetry. This concept translates properties of ovals, defined by pairs of parallel tangents, into discrete polygon space. We discuss the discrete equivalents of cusps, Wigner caustic, Centre Symmetry Set, and affine lambda-equidistant sets. This is a joint work with B. Murawski, T. Wieczorek, and M. Zwierzyński.
Wojciech Domitrz🔗
Warsaw University of Technology
Date: 2025 October 21st
Title: Singularities of 2-dimensional indefinite improper affine spheres determined by singular curves (continuation)
Wojciech Domitrz🔗
Warsaw University of Technology
Date: 2025 October 14th
Title: Singularities of 2-dimensional indefinite improper affine spheres determined by singular curves
Abstract: Improper affine spheres (IAS) are hypersurfaces whose affine Blaschke normal vectors are all parallel. They are given as the graphs of solutions of the classical Monge-Ampere equation. In 2013, F. Milan proved that 2-dimensional indefinite improper affine spheres are determined by their singular curves. We study singularities of IAS for generic singular curves.