Publications

On admissible tensor products in p-adic Hodge theory

We prove that if W and W' are two B-pairs whose tensor product is crystalline (or semi-stable or de Rham or Hodge-Tate), then there exists a character μ such that W-1) and W'(μ) are crystalline (or semi-stable or de Rham or Hodge-Tate). We also prove that if W is a B-pair and F is a Schur functor (for example Symn(-) or Λn(-)) such that F(W) is crystalline (or semi-stable or de Rham or Hodge-Tate) and if the rank of W is sufficiently large, then there is a character μ such that W-1) is crystalline (or semi-stable or de Rham or Hodge-Tate). In particular, these results apply to p-adic representations.

Compositio Mathematica 149 (2013), no. 3, pp 417--429. Online, preprint version.

Preprints

On triangulable tensor products of B-pairs and trianguline representations

Let GK denote the absolute Galois group of a p-adic field K/Qp. We show that if V and V' are non-zero p-adic representations of GK whose tensor product is trianguline, then V and V' are potentially trianguline. We give an example showing that V and V' need not be trianguline.

Preprint version