CMSA/Tsinghua Math-Science Literature Lecture: Large cardinals and small sets: The AD+ Duality Program

2022-11-09 09:30 - 11:00
CMSA Room G10
Address: CMSA, 20 Garden Street, Cambridge, MA 02138 USA

CMSA/Tsinghua Math-Science Literature Lecture

woodin_portait_books

Prof. Hugh Woodin will present a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series.

Date: Wednesday, November 9, 2022

Time: 9:30 – 11:00 am ET

Location: Via Zoom Webinar and Room G10, CMSA, 20 Garden Street, Cambridge MA 02138

Directions and Recommended Lodging

Registration is required.

 

Title: Large cardinals and small sets: The AD+ Duality Program

Abstract: The determinacy axiom, AD, was introduced by Mycielski and Steinhaus over 60 years ago as an alternative to the Axiom of Choice for the study of arbitrary sets of real numbers.  The modern view is that determinacy axioms concern generalizations of the borel sets, and deep connections with large cardinal axioms have emerged.

The study of determinacy axioms has led to a specific technical refinement of AD, this is the axiom AD+. The further connections with large axioms have in turn implicitly led to a duality program, this is the AD+ Duality Program.

The main open problems here are intertwined with those of the Inner Model Program, which is the central program in the study of large cardinal axioms.

This has now all been distilled into a series of specific conjectures.

 

Talk chair: Horng-Tzer Yau (Harvard Mathematics & CMSA)

Moderator: Alejandro Poveda Ruzafa (Harvard CMSA)

 

Beginning in Spring 2020, the CMSA began hosting a lecture series on literature in the mathematical sciences, with a focus on significant developments in mathematics that have influenced the discipline, and the lifetime accomplishments of significant scholars.

 

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