Hotelling's Trace v. Hotelling's T^2- Why make the move?

#1
Hello,

I am writing a dissertation and my chair wants me to convert Hotelling's Trace (resulting from my MANOVA) into Hotelling's T^2. No problem to actually do, but what I cannot find in research, and what my chair won't tell me, is why I would do this. The Trace shows the sum of the SSM/SSR from each variable but I'm not sure what is learned by converting it to the T^2.

Any help would be appreciated.