Geometry, Combinatorics, and Markov Numbers

The main topics of this meeting are the geometries of Markov's theorem. Among such geometries are hyperbolic geometry and the geometry of numbers. Minkowski-Voronoi polyhedra, Klein sails, etc. We are planning to discuss new advances and currently open problems in order to establish interrelations between different theories of multidimensional continued fractions

Topics: Markov numbers, Minkowski-Voronoi polyhedra, Klein sails, geometry of numbers, hyperbolic geometry, geometric continued fractions, multidimensional continued fractions