It is useful to recap what I did today, or these days.

I have been thinking about Koszul duality a lot these days.

• where does the mysterious grading come from.
• why the two spaces, Coulomb branch and Higgs branch, are related? I don't see the relation at all. You can say, categorically, one is about $Map(S^1, V/G)_{dR}$ the other is $Map(S^1_{dR}, V/G)$