Gal Porat (Hebrew University)
Restriction and Induction of phi-Gamma Modules

Let L be a non-archimedean local field of characteristic 0. We present a variant of the theory of (\varphi,\Gamma)-modules associated with Lubin-Tate groups, developed by Kisin and Ren, in which we replace the Lubin-Tate tower by the maximal abelian extension \Gamma=\mathrm{Gal}(L^{ab}/L). This variation allows us to compute the functors of induction and restriction for (\varphi,\Gamma)-modules, when the ground field L changes. 

In the talk we will focus on the case of characteristic-p coefficients for simplicity.

No prior background will be assumed except for the basic theory of local fields.

This is a joint work with Ehud de Shalit.
Branching laws for non-generic representations