The characteristic pp Mumford–Tate conjecture for products of GSpin Shimura varieties

Let (X,x)(X,x), X0X_0, and ff be as in the source, let ufpl(\Q)u\in\operatorname{fpl}(\Q), and let G(\LI,u,X0,x)G(\L_{\mathbf{I},u,X_0},x) and Lg(f)\Qu\operatorname{Lg}(f)_{\Q_u} be the groups defined there. The characteristic pp Mumford–Tate conjecture for products of GSpin Shimura varieties. For every ufpl(\Q)u\in\operatorname{fpl}(\Q), the inclusion

G(LI,u,X0,x)Lg(f)QuG(\mathbb{L}_{\mathbf{I},u,X_0},x)^\circ\subseteq\operatorname{Lg}(f)_{\mathbb{Q}_u}

is an equality.

This asserts that the relevant crystalline or uu-adic monodromy group reaches the expected Mumford–Tate-type group in every permitted realization. The supplied context does not state whether the conjecture is resolved.

Sources & referencesView supporting material

Primary source

Ruofan Jiang, “p-adic monodromy and mod p unlikely intersections, I”, arXiv:2308.06854 (2025).

Progress summary

Never refreshed

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Solutions 0

No solutions have been posted yet.