There are ‘big’ conjectures and not-so-big ones in the field. Some of the first have either been solved (often by unexpected tools) or are still pending like a fruit on the top of a tree with delicate branches, making it often hard for a layperson like some of us. This talk is about more modest conjectures, at anyone’s reach and pending from trees with more stable branches. Some of these may have some interest in algebraic geometry.

This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.