On Galois equivariance of homomorphisms between torsion potentially crystalline representations : A resume (Algebraic Number Theory and Related Topics 2013)

"Algebraic Number Theory and Related Topics 2013". December 9～13, 2013. edited by Tadashi Ochiai, Takeshi Tsuji and Iwao Kimura. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.In this article, we announce some results on Galois equivariance properties for torsion crystalline representations. These give torsion analogues of Kisin s theorem on the full faithfulness of a certain restriction functor on crystalline p-adic representations