Rational Curvature Invariants of 2-Dimensional Complexes

Explore new invariants of 2-dimensional complexes in this one-hour lecture from the Workshop on Geometry of Subgroups at the Centre de recherches mathématiques. Delve into recent developments in one-relator group theory and discover how these invariants potentially unify theories across various families, including small-cancellation presentation complexes, CAT(0) 2-complexes, and 3-manifold spines. Learn about the fundamental result showing these invariants as extrema of explicit linear-programming problems, making them rational, computable, and realizable. Gain insights into a conjectural "map" of 2-complexes and its implications for the field. This talk, presented by Henry Wilton, offers a deep dive into cutting-edge mathematical concepts at the intersection of geometry and group theory.