2 problems

Eisenstein cohomology conjecture. The group $H^5(\Gamma_0(N);\mathbb C)$ contains the following Eisenstein subspaces: for each equivalence class of weight-two holomorphic newforms…

Boundary correction conjecture. For $l=m$, the term $15\dim S_2(\Gamma_0(4))$ decomposes as $-C'$, while for $m=0$, the term $15S[\Gamma_0(4),2]$ decomposes as $C\cdot(-L-1)$. This…