Locally analytic group action on the Lubin-Tate moduli space.

by Dr Mihir Sheth (TIFR, Mumbai)

Thursday 6 Sept 2018, 16:00 → 17:00 Asia/Kolkata

AG-69 (TIFR, Mumbai)

Abstract: 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.