We will survey a series of recent developments in the area of bounded generation and first-order descriptions of groups. The goal is to illuminate the known results relevant to logical characterizations of Chevalley and Kac-Moody groups. If time permits I will discuss related questions originated from universal algebraic geometry.
This video was produced by the Universidade de São Paulo, as part of the LieJor Online Seminar: Algebras, Representations, and Applications.
