The AD+ Duality Program and the Ultimate L Conjecture
The study of descriptive set theory in the context of determinacy axioms began nearly 60 years ago. The context for this study is now understood to be the Axiom AD+, which is a refinement of the Axiom of Determinacy (AD). The objects of this study are the sets of reals in a natural hierarchy which extends the borel sets.
This has led to what is arguably the main duality program of Set Theory, which is the connection between the sets of reals A for which AD+ holds, and generalizations of L, the inner model of the universe of sets constructed by Gödel.
This has led to what is arguably the main duality program of Set Theory, which is the connection between the sets of reals A for which AD+ holds, and generalizations of L, the inner model of the universe of sets constructed by Gödel.
Lecturer
W. Hugh Woodin
Date
5th ~ 19th March, 2026
Location
| Weekday | Time | Venue | Online | ID | Password |
|---|---|---|---|---|---|
| Thursday | 09:50 - 12:15 | Qiuzhen Hall, Ning Zhai | - | - | - |
Video Public
No
Notes Public
No
Language
English
Lecturer Intro
William Hugh Woodin is an American mathematician at Harvard University specializing in set theory. He has made many notable contributions to the theory of inner models and determinacy. A type of large cardinals, the Woodin cardinals, bears his name. He earned his Ph.D. from the University of California, Berkeley in 1984 under Robert M. Solovay. His dissertation title was Discontinuous Homomorphisms of C(Ω) and Set Theory. He served as chair of the Berkeley mathematics department for the 2002–2003 academic year. Woodin is a managing editor of the Journal of Mathematical Logic. He was elected a Fellow of the American Academy of Arts and Sciences in 2000 and elected to the National Academy of Sciences in 2023.