Good reduction of affinoids on the Lubin-Tate tower

Mathematics – Number Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

22 pages, published version

Scientific paper

We analyze the geometry of the tower of Lubin-Tate deformation spaces, which parametrize deformations of a one-dimensional formal module of height h together with level structure. According to the conjecture of Deligne-Carayol, these spaces realize the local Langlands correspondence in their l-adic cohomology. This conjecture is now a theorem, but currently there is no purely local proof. Working in the equal characteristic case, we find a family of affinoids in the Lubin-Tate tower with good reduction equal to a rather curious nonsingular hypersurface, whose equation we present explicitly. Granting a conjecture on the L-functions of this hypersurface, we find a link between the conjecture of Deligne-Carayol and the theory of Bushnell-Kutzko types, at least for certain class of wildly ramified supercuspidal representations of small conductor.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Good reduction of affinoids on the Lubin-Tate tower does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Good reduction of affinoids on the Lubin-Tate tower, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Good reduction of affinoids on the Lubin-Tate tower will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-635399

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.