Torsion representations arising from (phi,G^)-modules


Yoshiyasu Ozeki

17:10:00 - 18:00:00

101 , Mathematics Research Center Building (ori. New Math. Bldg.)

The notion of a $(\varphi,\hat{G})$-module is defined by Tong Liu in 2010 to classify lattices in semistable representations. In this talk, we study a ``maximal'' (``minimal'') object of a $(\varphi,\hat{G})$-module by using the theory of \'etale $(\varphi,\hat{G})$-modules, essentially proved by Xavier Caruso, which is an analogue of Fontaine's theory of \'etale $(\varphi,\Gamma)$-modules. Non-isomorphic two maximal (minimal) objects give non-isomorphic two torsion $p$-adic representations.

For material related to this talk, click here.