Redrawing of (logged-in) home page of sessions

I've started to work on a redraw of the home page, because the current one is notably ugly. Here is my first sketch. It would regroup all the sessions from all the tutors/AI/... and use color to differentiate past/in progress/future sessions. It could also show in which session there is someone, as the purple color does on the sketch.

The main drawback I see is that it would require some rework of the buttons, as it would be necessary to select the tutor/AI/... with who we want to create the session.

What do you think @sbibauw @VictoriaDemierbe @TylerDickinson ?