| Speaker: | Shi Chen (Univ. of Minnesota) |
|---|---|
| Title: | Anomaly and invertible field theory with higher-form symmetry: Extended group cohomology |
| Date (JST): | Tue, Sep 24, 2024, 13:30 - 15:00 |
| Place: | Seminar Room A |
| Abstract: | When higher-form symmetries are involved, classifying spaces are often used to establish the classification of 't Hooft anomalies and invertible phases. For 0-form symmetries, instead, it is more convenient to do the same thing with algebraic cochains (e.g. F-moves) and we obtain things like group cohomology. In this talk, I investigate the algebraic-cochain description for higher-form symmetries. When the higher-group structure is trivial, a purely algebraic structure that naturally generalizes group cohomology is observed. This extended group cohomology is a reflection of the Dold-Kan correspondence in simplicial homotopy theory. |
