These "slow quads" are 4 player round robin tournaments organised by people over at Dan Heisman Learning Center (it pains me to spell "centre" this way but that's the name of the group!). I found the group after I saw it recommended as the best place to play slow chess on chess.com. Basically, 1 game with 45|45 time controls is played each week for 6 weeks (you play everyone as white and black), and see who wins!
Here is game 1 I played in the quad last night, with my thoughts; please let me know your thoughts in the comments!
Thanks for reading!