activity
20132026
most citedFirst covering of Drinfel'd upper half plane and Banach representations of GL_2(Q_p)

5 citations · 9 across the 9 of their papers we have counts for

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Showing 2026Show all

4 papers · 1 filter

math.NT2026

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…

math.NT2026

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…

math.NT2026

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.

math.NT2026

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…