Why are LLMs not Better at Finding Proofs?

In this 54-minute lecture, renowned mathematician Timothy Gowers from the Collège de France explores the limitations of Large Language Models (LLMs) in mathematical proof discovery. Examine why these powerful AI systems, despite their success in many domains, struggle with constructing mathematical proofs. Delve into the fundamental challenges at the intersection of artificial intelligence and mathematical reasoning, as Gowers analyzes the gap between current LLM capabilities and the complex cognitive processes involved in proof construction. Presented at the Institut des Hautes Etudes Scientifiques (IHES), this talk provides valuable insights for researchers interested in AI, mathematics, and the future of automated theorem proving.