Mittagsseminar (by J. Lengler, K. Bringmann, B. Gärtner, M. Hoffmann, R. Kyng, D.Steurer, V. Traub)

Date and Time: Tuesday, February 25, 2025, 12:15 pm

Duration: 30 minutes

Location: OAT S15

Speaker: Goran Žužić (Google Research)

Recent and future advancements in AI for TCS/math

The year 2024 was pivotal for AI-powered mathematical reasoning, witnessing several major advancements. Highlights include Alphaproof from Google (https://deepmind.google/discover/blog/ai-solves-imo-problems-at-silver-medal-level/), which earned a silver medal at the International Mathematical Olympiad, and o3 from OpenAI, achieved a Codeforces rating placing it among the top 200 competitive programmers globally. 2025 seems poised as the year when AI leads to significant breakthroughs in research-level TCS/math. This will require tackling several major challenges, most notably the verifiability of AI-generated results. In this talk, I will introduce the approach to verifiability taken by Alphaproof. Alphaproof tries to solve this problem by making sure the output it produces can be gformally verified. I will highlight some key (public) findings from this work and discuss which problems seem to be within reach of AI in 2025. Finally, I discuss potential future directions. These efforts are still in their early stages, making it a perfect time for new contributors. We are eager to collaborate with other researchers, and will therefore conclude the presentation with a brainstorming session, inviting the audience to help us shape the future of this exciting field.

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