Evolution most likely ships with your Linux distribution of choice. To get your latest supported version, you will want to check with your distribution supplier.
For those of you in the compiling-from-source know, you can download the latest stable or unstable releases. Grab the latest version of the source from below and have fun compiling!
|Evolution Data Server||3.8.0|
Check the GNOME release schedule for upcoming release dates.
None at this time. 3.9 schedule to be announced.