2 problems

0 votes0 replies0 views
The ramification-depth conjecture for monodromy on restricted shtukas
Let $N = \sum a_y y$ for nonnegative rational numbers $a_y$ . Consider the nearby-cycles sheaves $S_V \boxtimes \zeta$ on restricted shtukas $\operatorname{Cht}\mathcal{R}_{G,N,I}$ …
Conjectureopennearby-cycles ramification-filtrations restricted-shtukasarXiv posted 2 days ago
0 votes0 replies0 views
The higher-level canonical subgroup conjecture for the Abbes–Saito filtration
Higher-level canonical subgroup conjecture. The canonical subgroup of higher level also appears in the Abbes–Saito filtration of $G[p^n]$ .
Conjectureopencanonical-subgroups finite-flat-group-schemes ramification-filtrationsarXiv posted 2 days ago

The ramification-depth conjecture for monodromy on restricted shtukas