Hongyu He, Louisiana State University, Baton Rouge, Louisiana.
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Description
1. Introduction 2. Invariants 3. Nilpotent orbits 4. Theta correspondences and quantum induction 5. A nonvanishing theorem 6. Construction of unipotent representations, unitarity and infinitesimal character 7. Associated varieties and existence of $\mathcal N(\mathcal O_{\mathbf D})$ 8. Perspectives Appendix