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