**Tong Liu** (UPenn)

Title: *A bound on ramification of p*^{n}-torsion semistable representations

Abstract:
Let p be an odd prime, K a p-adic field with absolute ramification index e, and
T a p^{n}-torsion semi-stable representation over K with Hodge-Tate weights in
{0,..., r} in the sense that T is killed by p^{n} and T can be written as a
quotient of lattices in a semi-stable representation over K with Hodge-Tate
weights in {0, ..., r}. We prove there exists an explicit constant c only
depending on e, r and n such that the ramification group G^{(c)} acts on T
trivially.