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 )
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. |