2026/2027🔗
Julia Małaśnicka🔗
Warsaw University of Technology
Date: 2026 November 10th
Title: Lagrangian Webs on the Space of Geodesics of a Surface of Constant Positive Curvature
Abstract: We we briefly fo through a construction of a symplectic form on the space of oriented geodesics of the S^2. Then we'll describe a local Lagrangian 2-web determined by two regular curves on S^2 and show that it cannot be locally symplectically trivial.
Michał Zwierzyński🔗
Warsaw University of Technology
Date: 2026 October 27th
Title: An Introduction to Pentagram Maps
Abstract: We will define the pentagram map, introduced by R. Schwartz in 1992, and discuss its basic properties. We will then focus on the asymptotic behaviour of the area-normalized pentagram map, presenting recent results obtained using a spectral approach based on the linear operator introduced by M. Glick. We will also briefly discuss related open problems, including those posed by M. Glick at the recent conference.
Mikołaj Paśnikowski🔗
Warsaw University of Technology
Date: 2026 October 20th
Title: 2-dimensional special improper affine spheres with singularities (cont.)
Abstract: Special improper affine spheres (SIAS) are wave front realizations of solutions to the Monge–Ampère Hessian one equation ($det D^2f = 1$). We go over their definition, along with their local properties and a representation by a pair of holomorphic functions. We study the singularities of SIAS.
Mikołaj Paśnikowski🔗
Warsaw University of Technology
Date: 2026 October 6th
Title: 2-dimensional special improper affine spheres with singularities
Abstract: Special improper affine spheres (SIAS) are wave front realizations of solutions to the Monge–Ampère Hessian one equation ($det D^2f = 1$). We go over their definition, along with their local properties and a representation by a pair of holomorphic functions. We study the singularities of SIAS.