Mine is Cycling, but there is a lot to this, especially for your mental state. Rest and activity boost growth hormones and help your brain to sort things out. Burnout can feel like depression. For me, that's when I know I need to be giving myself more time between things. Work hard and rest hard. Work your body like you do your mind.
So find an activity that you like or want to try and get sweaty - get body-tired to match your mental-tired-ness.
And share your efforts with your manager. This is actually part of leveling up. Knowing what you need to do for -you- that will help you do better, more motivated work with a fresh perspective is a value-adding process as much as going to a conference is.
