AI and AC: Learning Hardness in Mathematics and Artificial Intelligence

Overview

Explore the intersection of AI and mathematics as Sergei Gukov discusses "Learning Hardness," examining how solving difficult math problems drives both mathematical progress and AI advancement, with examples from knot theory and group theory.

Syllabus

- Introduction to AI and Mathematics -- Overview of Artificial Intelligence in Mathematical Contexts -- Understanding "Learning Hardness" - Mathematical Foundations -- Basics of Knot Theory --- Introduction to Knots and Links --- Mathematical Representations of Knots -- Overview of Group Theory --- Fundamental Concepts in Group Theory --- Applications of Group Theory in Mathematics - Learning Hardness in Mathematics -- Defining Complexity and Hardness in Mathematical Problems -- Case Studies: Challenging Problems in Knot Theory -- Analyzing Difficult Problems in Group Theory - AI Methods in Solving Complex Mathematical Problems -- AI Algorithms in Mathematical Problem Solving -- Machine Learning Applications in Mathematics -- Examples of AI Achievements in Solving Mathematical Challenges - Intersection of AI and Mathematics: Case Studies -- AI Contributions to Advances in Knot Theory -- Group Theory and AI: A Mutual Evolution - Seminar with Sergei Gukov -- Discussion on Learning Hardness and AI -- Interactive Q&A on Knot Theory and Group Theory in AI - Future Directions -- Current Trends in AI and Mathematics Cooperation -- Predicting Future Challenges and Opportunities - Conclusion -- Recap of Key Insights from the Course -- The Role of AI in Shaping the Future of Mathematical Research

Taught by

Tags