Set Theory Group
The Ultrapower Axiom, Determinacy, and Very Large Cardinals.
Abstract. This talk will survey the Ultrapower Axiom (UA), an amalgamation principle in set theory that has emerged as a common structural feature of three very different set-theoretic frameworks: canonical inner models, determinacy axioms, and very strong large cardinal hypotheses. I will focus on the mysterious analogies among these subjects, as well as two recent complementary theorems of Woodin and the speaker that begin to clarify the role of UA in set theory.
Date & Time
April 08, 2026 | 4:00pm – 5:00pm
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04/08/2026 16:00
04/08/2026 17:00
Set Theory Group
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Topic: The Ultrapower Axiom, Determinacy, and Very Large Cardinals.
Speakers: Gabriel Goldberg, University of California, Berkeley
More: https://www.ias.edu/math/events/set-theory-group-0
Abstract. This talk will survey the Ultrapower Axiom (UA), an
amalgamation principle in set theory that has emerged as a common
structural feature of three very different set-theoretic frameworks:
canonical inner models, determinacy axioms, and very strong large
cardinal hypotheses. I will focus on the mysterious analogies among
these subjects, as well as two recent complementary theorems of Woodin
and the speaker that begin to clarify the role of UA in set theory.
Simonyi Hall 101
a7a99c3d46944b65a08073518d638c23
Location
Simonyi Hall 101Speakers
Gabriel Goldberg, University of California, Berkeley