Tuesday April 1st, 2025 | |
| Time: | 4:00 PM - 5:15 PM |
| Title: | Dirac operators twisted by ramified Euclidean line bundles |
| Speaker: | Gorapada Bera, Stony Brook University |
| Location: | P-131 |
| Abstract: | |
| This talk explores Dirac operators twisted by ramified Euclidean line bundles, where the branching locus is a closed codimension-two submanifold. These operators appear in various contexts in gauge theory and calibrated geometry due to their connection with harmonic Z/2Z spinors. However, they are generally not Fredholm, leading to questions about their closed Fredholm extensions. A characterization of these extensions is given in terms of the Gelfand–Robbin quotient and its geometric realization. Additionally, aspects of their L^2 regularity theory will be discussed. This is a joint work with Thomas Walpuski. | |