Members' Colloquium
The AD+ Duality Program
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 universally Baire sets of reals which form a transfinite 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 universally Baire sets, and generalizations of L, the inner model of the universe of sets constructed by Gödel.
Date & Time
April 06, 2026 | 1:30pm – 2:30pm
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04/06/2026 13:30
04/06/2026 14:30
Members' Colloquium
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Topic: The AD+ Duality Program
Speakers: Hugh Woodin, Harvard University
More: https://www.ias.edu/math/events/members-colloquium-102
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 universally
Baire sets of reals which form a transfinite 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 universally Baire sets,
and generalizations of L, the inner model of the universe of sets
constructed by Gödel.
Simonyi 101 and Remote Access
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Location
Simonyi 101 and Remote AccessSpeakers
Hugh Woodin, Harvard University