5 citations · 9 across the 9 of their papers we have counts for
4 papers · 2 filters
Plectic Lie Algebra Action on Hilbert modular varieties
Yuanyang Jiang, Lue Pan
We construct some part of the plectic Galois action on the locally analytic -adically completed cohomology of Hilbert modular varieties, predicted by the plectic conjecture of N…
Prescribed lifts of 2-dimensional representations
Matthew Emerton, Toby Gee, Lue Pan +1
Let F be a totally real field, and let p be prime. Under standard Taylor--Wiles hypotheses, we show that an irreducible, 2-dimensional, totally odd mod p representation of the abso…
On the locally analytic completed cohomology of modular curves
Lue Pan
We survey our works on the locally analytic vectors of completed cohomology of modular curves.
Some vanishing results for the rational completed cohomology of Shimura varieties
Kai-Wen Lan, Lue Pan
Based on an almost Kodaira-type vanishing result in mixed characteristics of Bhatt, we show that, in the locally analytic completed cohomology of a general Shimura variety, suffici…