First steps into the world of systolic inequalities: From Riemannian to symplectic geometry
arXiv:2103.09356
Abstract
Our aim is to give a friendly introduction for students to systolic inequalities. We will stress the relationships between the classical formulation for Riemannian metrics and more recent developments related to symplectic measurements and the Viterbo conjecture. This will give us a perfect excuse to introduce the reader to some important ideas in Riemannian and symplectic geometry.
acknowledgements updated, 31 pages, 9 figures, these notes are an expanded version of two talks given at the Dutsch Differential Topology and Geometry Seminar on November 27, 2020