

What Are Breakthroughs in Mathematics?
Nov 29, 2023
Guest
Paul Davies
Guest
Michael Hopkins
Guest
Karen Uhlenbeck
Guest
Ivan Corwin
Guest
Gregory Chaitin
Guest
Edward Witten
Renowned mathematicians and physicists discuss breakthroughs in mathematics, including the significance of solving problems like the Colabi conjecture, the impact on physics, complexities of four-dimensional spaces, random sequences, and the relationship between mathematics and physics.
Chapters
Transcript
Episode notes
1 2 3 4 5 6
Introduction
00:00 • 2min
Breakthroughs in Mathematics: Perspectives and Examples
02:08 • 14min
Characterizing Mathematical Breakthroughs and Exploring Philosophical Impact
16:14 • 2min
Exploring the Concept of Structural Randomness
18:12 • 3min
Breakthroughs in Mathematics and Their Relation to Physics
21:17 • 5min
Understanding the Nature of Mathematical Breakthroughs
26:07 • 2min