  This paper presents the computational challenge on differential geometry and
topology that happened within the ICLR 2021 workshop "Geometric and Topological
Representation Learning". The competition asked participants to provide
creative contributions to the fields of computational geometry and topology
through the open-source repositories Geomstats and Giotto-TDA. The challenge
attracted 16 teams in its two month duration. This paper describes the design
of the challenge and summarizes its main findings.
