Natalia Pacheco-Tallaj (MIT): Twisted string bordism in 7 dimensions with applications to anomaly cancellation
Feb 10, 2026 10:00 am
Transportation Building 204

- Sponsor
- UIUC Math Department
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- 2
- Originating Calendar
- Mathematics Seminar Series: Topology
- 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.