Research Seminars @ Illinois

In upcoming joint work with I. Basile, C. Krulewski and G. Leone, we use homotopic and topological techniques to study anomaly cancellation in 6d supergravity theories. In this talk, I will give a quick overview of anomalies of quantum field theories and their classification using twisted bordism groups. Then, I will overview how we leverage the unstable classification of vector bundles over CP2 to construct explicit generators for 7-dimensional twisted string bordism groups, and I will show how to construct a complete family of index-theoretic invariants to detect the torsion in these groups.