Mihir Sheth
TIFR, Mumbai
September 6, 2018
Locally analytic group action on the Lubin-Tate moduli space: The Lubin-Tate moduli space $X$ is a $p$-adic analytic open unit disc which parametrizes deformations of a formal group $H$ defined over an algebraically closed field of characteristic $p$. The natural action of the group Aut$(H)$ on $X$ is highly non-trivial, and gives rise to certain $p$-adic representations known as 'locally analytic' representations on the dual vector space of global sections over $X$. In this talk, I will first introduce the geometric object $X$, then speak about aforementioned representations, and then compare them with the well-studied example of locally analytic representations arising from the $p$-adic upper half plane.
TIFR, Mumbai
September 6, 2018
Locally analytic group action on the Lubin-Tate moduli space: The Lubin-Tate moduli space $X$ is a $p$-adic analytic open unit disc which parametrizes deformations of a formal group $H$ defined over an algebraically closed field of characteristic $p$. The natural action of the group Aut$(H)$ on $X$ is highly non-trivial, and gives rise to certain $p$-adic representations known as 'locally analytic' representations on the dual vector space of global sections over $X$. In this talk, I will first introduce the geometric object $X$, then speak about aforementioned representations, and then compare them with the well-studied example of locally analytic representations arising from the $p$-adic upper half plane.