Johan Commelin: Liquid Tensor Experiment (NTWS 103)
Channel: Number Theory Web Seminar
Date: 2023-09-02

Abstract: In December 2020, Peter Scholze posed a challenge to formally verify the main theorem on liquid $\mathbb{R}$-vector spaces, which is part of his joint work with Dustin Clausen on condensed mathematics. I took up this challenge with a team of mathematicians to verify the theorem in the Lean proof assistant. Half a year later, we reached a major milestone, and our expectation is that in a couple of months we will have completed the full challenge.
In this talk I will give a brief motivation for condensed/liquid mathematics, a demonstration of the Lean proof assistant, and discuss our experiences formalizing state-of-the-art research in mathematics.

Link to slides: https://drive.google.com/file/d/1pasPOJw9UNMW7upmgr8pmbM1oE6LWzir

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date: 
Thursday, October 21, 2021 (8am PDT, 11am EDT, 4pm BST, 5pm CEST, 6pm Israel Daylight Time, 8:30pm Indian Standard Time, 11pm CST)
Friday, October 22, 2021 (2am AEST, 4am NZST)