Abstract for the talk on 29.06.2022 (14:00 h)ICM 2022 preparatory lecture
Pierpaola Santarsiero (MPI MiS, Leipzig)
The geometry of geometries: Matroid theory, old and new
This lecture is based on Federico Ardila’s preprint "The geometry of geometries: matroid theory, old and new" (https://arxiv.org/pdf/2111.08726.pdf). After reviewing basic definitions related to matroids, in this talk we introduce some key invariants of a matroid and we discuss recent achievements of matroid’s theory.
This is a preparatory lecture for the ICM talk of Federico Ardila.