There are more and more mathematical research group blogs entering the scene lately. I would like to try and start one more, this one with a focus on various closely related subjects - the * ∞ algebras.

We know of the A ∞ algebras. We know of the L ∞ algebras. And we know of E ∞ ring spectras. I most probably forget about several highly interesting similar constructions, which I however expect will end up being more than welcome here.

The tagline I expect the prevalent theme here to follow, though, will be “…up to homotopy”. This seems, to my mind, to be a unifying factor of most * ∞-theories I have seen so far. Thus, as the technical host of discussions, I wish you all welcome.

If you feel you can contribute more than just as a regular reader and commenter, and might even wish to write posts, then please create a user and drop me a note on mik@math.uni-jena.de. As soon as I see the user created, I will be able to grant further privileges. Hopefully, this way, we can get enough of the conversation going here to make this as vibrant and interesting a group blog as all the other examples out there.