# Colloquium abstracts

**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.