Exploring the Creative Union of Artificial Intelligence and Pure Mathematics
Offered By: SAIConference via YouTube
Course Description
Overview
Explore the fascinating intersection of artificial intelligence and pure mathematics in this thought-provoking conference talk. Delve into the speaker's recent investigations on AI's potential to perform pure mathematics, starting with the historical connection between mathematics and fundamental physics. Learn about string theory, its challenges in higher dimensions, and the landscape problem. Discover the "top-down" approach to mathematics, involving experimentation and pattern recognition, and see examples of neural networks accurately predicting complex mathematical structures. Examine the use of machine learning in automated theorem proving and its potential for breakthroughs in mathematics and physics. Consider mathematics as a natural language and the role of large language models in advancing scientific disciplines. Gain insights from a distinguished mathematical physicist on how AI can contribute to new discoveries and accelerate scientific progress through pattern recognition and mathematical language analysis.
Syllabus
Introduction
The 20th century
String theory
String compactification
Learning as a complete novice
How is it possible
Experiments
Topdown mathematics
Prime counting function
New type of data
Primes
Group Theory
Summary
The Language of Mathematics
Taught by
SAIConference
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