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For a non-archimedean local field $F$ and a connected reductive group $G$over $F$ equipped with a parabolic subgroup $P$, we show that the dualizingcomplex on $\mathrm{Bun}_P$, the moduli stack of $P$-bundles on theFargues--Fontaine curve, can be described explicitly in terms of the moduluscharacter of $P$. As applications, we identify various characters appearing inthe theory of local and global Shimura varieties, show the Harris--Viehmannconjecture in the Hodge--Newton reducible case, and carry out some computationsof the geometric Eisenstein functors for general parabolics.

Dualizing complexes on the moduli of parabolic bundles