Decomposition of Definable Sets in Algebraically Closed Fields

Explore a 57-minute lecture on the decomposition of definable sets in algebraically closed fields, presented by Alfonso Ruiz from the University of Miami. Part of the "Geometry, Topology, Group Actions, and Singularities in the Americas" conference held in October 2022, this talk delves into an active area of study that bridges algebraic topology, algebraic geometry, and mathematical physics. Gain insights into the rich interactions between North American research on orbifolds and the South American school of singularity theory. Discover how this field fosters collaboration across geographical boundaries and mathematical disciplines, contributing to the ongoing development of group actions in geometry and topology and their connections to singularity theory.