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Explore homological methods in the study of algebraic structures in this conference talk from the 8th edition of the "Geometry in Algebra, Algebra in Geometry" workshop. Delve into advanced mathematical concepts at the intersection of geometry and algebra as presented by Sebastian Velazquez from King's College London. Learn about the applications of homological techniques to understand and analyze various algebraic structures, gaining insights into this specialized area of mathematical research. Discover how these methods contribute to the broader understanding of the relationship between geometric and algebraic concepts. This presentation is part of a comprehensive workshop program designed to foster exchange of ideas among researchers and postgraduate students working at the interface between geometry and algebra, featuring minicourses on polygons, vertex algebras with special holonomy, and localization theorems for foliations, alongside multiple invited lectures covering topics from supervector bundles to symplectic reduction and foliation theory.
