In this combinatorial talk, we will prove the partial information found in the second talk is enough to prove the claimed distribution for $2^k$-Selmer groups over grids. We will focus primarily on the case of $4$-Selmer groups.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/9073