On lattices in semi-stable representations: a proof of a conjecture of Breuil

By Tongyin Liu. Compositio Mathematica, 2008

110 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a1f094b74b94d75656b1228df68a33f2fdcf9ff2

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. T. Gee
2. M. Emerton
3. F. Herzig
4. Tongyin Liu
5. Davesh Maulik
6. David Savitt
7. C. Breuil
8. David Geraghty

In Mathematical Physics

1. T. Gee
2. M. Emerton
3. F. Herzig
4. Tongyin Liu
5. Davesh Maulik
6. David Savitt
7. M. Kisin
8. C. Breuil

Citations in the corpus

• A note on lattices in semi-stable representations (2007, background): “By Lemma 5.1.2 in [ Liu07a ], we have Kp∞ ∩ K∞ = K, ˆ”
• Weight cycling and Serre-type conjectures for unitary groups (2011, background): “pecial cases of the tame inertial local Langlands correspondence for GLn. In Section 3 we establish the necessary results from p-adic Hodge theory; in particular, we generalise some of the results of [Liu08] to allow for coefficients and descent data. We then use these results to give an upper bound f”
• Supersingular K3 surfaces for large primes (2012, background): “twisted by ϕ.) Proof. By twisting, it suffices to treat the case a= 0 and b= p−2. Let Sbe Breuil’s ring [Liu2, §2.2]. Let D= D⊗KS[1/p] be the rational Breuil module assocaited to D. The main result of [Liu2] shows that there exists a unique strongly divisible lattice Min Dsuch that T(M) = T, where T(”