Classifying Crystalline Interacting Topological Phases Through Equivariant Cohomology

Explore a comprehensive lecture on classifying crystalline interacting topological phases through equivariant cohomology, presented by Omar Antolin from UNAM. Delve into joint research with Daniel Sheinbaum that reveals methods for calculating the number of distinct topological phases of matter in crystalline interacting gapped systems based on their symmetry group. Discover how the classification is expressed through equivariant homotopy classes of maps, with some cases simplifying to Borel equivariant cohomology. Gain insights into the natural assumptions underlying this classification and compare both the classification approach and its assumptions with other proposals in the literature. This 55-minute talk, hosted by the University of Miami, offers a deep dive into advanced concepts in condensed matter physics and topological materials.