A few links (the chat is mentionned multiple times during the chat)
Lean: https://leanprover.github.io/
Repo: https://github.com/leanprover/lean/
Chat: https://leanprover.zulipchat.com/
The maths course (in French) that can be seen during the presentation: https://www.math.u-psud.fr/~pmassot/enseignement/math114/
License: Apache 2.0
I was afraid there would be a CLA, as is customary with Microsoft's projects (and the main reason I didn't contribute to any), but I couldn't find one. Good call.
> Lean 4
> We are currently developing Lean 4 in a new (private) repository. The source code will be moved here when Lean 4 is ready. Users should not expect Lean 4 will be backward compatible with Lean 3. [Committed one year ago]
Really, really not a fan of this. This basically prevents anyone from attempting to add new features or fixes, as they might be obsolete by the time the new version comes out (incompatible or already fixed).