Large Cardinals, Determinacy and Other Topics

Preface; Original numbering; Part VII. Extensions of AD, models with choice: 1. A brief history of determinacy Paul B. Larson; 2. “AD plus uniformization” is equivalent to “half $AD_\mathbb{R}$” Alexander S. Kechris; 3. The independence of DC from AD Robert M. Solovay; 4. Games of countable length Donald A. Martin; 5. Some consistency results in ZFC using AD W. Hugh Woodin; 6. Subsets of $\aleph_1$ constructible from a real Alexander S. Kechris; 7. AD and the uniqueness of the supercompact measures on $\wp_{\omega_1}(\lambda)$ W. Hugh Woodin; 8. The extender algebra and $\sum_1^2$-absoluteness Ilijas Farah; Part VIII. Other topics: 9. On Vaught's conjecture John R. Steel; 10. Capacities and analytic sets Claude Dellacherie; 11. More saturated ideals Matthew Foreman; 12. The fourteen Victoria Delfino problems and their status in the year 2020 Andrés Eduardo Caicedo and Benedikt Löwe; Bibliography.