@PhdThesis{duepublico_mods_00045390,
  author = 	{Sheth, Mihir Dilip},
  title = 	{Locally analytic representations in the moduli spaces of Lubin-Tate},
  year = 	{2018},
  month = 	{Feb},
  day = 	{16},
  abstract = 	{Let K be a finite extension of Q{\_}p with ring of integers o, and let H{\_}0 be a formal o-module of finite height over a separable closure of the residue class field of K. The Lubin-Tate moduli space X{\_}m classifies deformations of H{\_}0 equipped with level-m-structure. In this thesis, we study a particular type of p-adic representations originating from the action of Aut(H{\_}0) on certain equivariant vector bundles on the generic fibre of X{\_}m . We show that, for arbitrary level m, the Fr{\'e}chet space of the global sections of these vector bundles is dual to a locally K-analytic representation of Aut(H{\_}0) generalizing previous results of J. Kohlhaase in the case K = Q{\_}p and
m = 0. To get a better understanding of these representations, we compute their locally finite vectors. Essentially, all locally finite vectors arise from the global sections over the projective space via pullback along the Gross-Hopkins period map.},
  url = 	{https://duepublico2.uni-due.de/receive/duepublico_mods_00045390},
  file = 	{:https://duepublico2.uni-due.de/servlets/MCRFileNodeServlet/duepublico_derivate_00044800/Diss_Sheth.pdf:PDF},
  language = 	{en}
}