Though I know how to set a global key-binding in Emacs, I find it hard to even Google out the code for a local (minor-mode specific) key-binding. For instance, I have this code
I use the following:
(add-hook 'LaTeX-mode-hook (lambda () (local-set-key (kbd "C-0") #'run-latexmk)))
to have a bind defined for LaTeX mode alone.