School of Mathematics Colloquium

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

by Dr. Mihir Sheth (TIFR, Mumbai)

Thursday, September 6, 2018 from to (Asia/Kolkata)
at TIFR, Mumbai ( AG-69 )
Description
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.