NB : I use an Azerty keyboard, but i've added what i think is the equivalent for a Qwerty keyboard.

Spacebar - Center on your fortress

² - Player 1
F1 - Player 2
F2 - Player 3
F3 - Player 4
F4 - Player 5
F5 - Player 6

F9 - Board cantons
F10 - Cantons ownership

F12 - Display the bug report tool
(beware, F12 is also a shortcut for taking a screenshot with Steam)

1 - Sanctum
2 - Diplomacy
3 - Bazar
4 - Ritual chamber
5 - Encyclopaedia

- (for Qwerty keyboards) or ) (for Azerty keyboards) - Unzoom
= - Zoom

Arrows keys - move the map

Tab - displays the Notepad

Escape - Close various windows and pop-ups (but not all of them). Or displays the main menu. Or Quit to desktop when on the main screen.

Enter - End turn. Skip battle phases.

W, A, S, D (for Qwerty keyboards) or Z, Q, S, D (for Azerty keyboards) - move the map
Q, E (for Qwerty keyboards) or A, E (for Azerty keyboards) - rotate the map
R - Reset the view angle (after rotating the map or zooming) (doesn't work in all cases...)

H - Center on your fortress

K - Cycle through every Strongholds
L - Cycle through every Strongholds
; (for Qwerty keyboards) or M (for Azerty keyboards) - Shows Pandaemonium, then cycle with Abyss striders (if present), then Places of Power, then Legions.
' (for Qwerty keyboards) or % (for Azerty keyboards) - Cycle Pandaemonium, then cycle with Abyss striders (if present), then cycle through Places of Power, then with Legions.
U - Consolidate tokens screen (doesn't work in all cases...)

[ (for Qwerty keyboards) or ^ (for Azerty keyboards) - Hide / show Messages
] (for Qwerty keyboards) or $ (for Azerty keyboards) - Hide / show Objectives

, (for Qwerty keyboards) or ; (for Azerty keyboards) - Cycle through your Legions and Places of Power.
. (for Qwerty keyboards) or : (for Azerty keyboards) - Cycle through your Legions and Places of Power.