Topological automorphic forms (TAF) were introduced by Mark Behrens and Tyler Lawson in 2007, being to Shimura varieties what topological modular forms (TMF) is to the moduli stack of elliptic curves.

While a previous question asked about TMF, there does not seem to be a similar question for TAF (and indeed not many questions about it at MathOverflow at all).

Question:How do TAF fit into the current research programs in homotopy theory, and what are the connections between them and other concepts, such as TMF?

For instance, the nLab page on TAF has the following comparison between $\mathrm{KO}$, $\mathrm{TMF}$, and $\mathrm{TAF}$: (Modified LaTeX reproduction. The scare quotes on “$\geq3$” are to account for the fact that while $\mathrm{TAF}$ is a kind of analogue of $\mathrm{TMF}$ at higher heights, it also specializes to $n=1,\ 2$. See Charles Rezk's comment for great pointers in this direction.)