课程描述 DescriptionCategorical dynamical systems have fruitful connections with various mathematical fields, for instance with algebraic geometry, Teichmuller theory, symplectic geometry, and dynamical systems. The goal of this course is to give an introduction to the recent works on categorical dynamical systems. We will discuss topics that are closely related to the development of categorica...
AbstractWe study scattering rigidity in Lorentzian geometry: recovery of a Lorentzian metric from the scattering relation known on a lateral boundary. We show that, under a non-conjugacy assumption, every defining function r(x,y) of the submanifold of pairs of boundary points which can be connected by a lightlike geodesic plays the role of the boundary distance function in the Riemannian case i...