Videos

Rigid analytic quantisation and p-adic representations of p-adic Lie groups

April 12, 2013
Keywords:
  • compact p-adic Lie groups
  • noncommutative algebra
  • noncommutative algebraic geometry
  • D-module
  • deformation quantization
MSC:
  • 16Gxx
  • 14-xx
  • 14Fxx
  • 14F10
  • 81-xx
  • 81Rxx
  • 81R50
  • 81R60
  • 81Sxx
  • 81S10
Abstract
We introduce a sheaf \hat D of locally Frechet-Stein algebras on smooth rigid analytic spaces that is morally a "rigid analytic quantization" of the cotangent bundle. Using coadmissible equivariant \hat D-modules on rigid analytic varieties, we give an alternative approach to the localization of admissible locally analytic representations of reductive compact p-adic Lie groups. Work in progress with SImon Wadsley.