- Series
- Other Talks
- Time
- Wednesday, November 2, 2011 - 4:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Jared Weinstein – Institute for Advanced Study and Boston University
- Organizer
- Douglas Ulmer
This is joint work with Mitya Boyarchenko. We construct a
special hypersurface X over a finite field, which has the property of
"maximality", meaning that it has the maximum number of rational
points relative to its topology. Our variety is derived from a
certain unipotent algebraic group, in an analogous manner as
Deligne-Lusztig varieties are derived from reductive algebraic groups.
As a consequence, the cohomology of X can be shown to realize a piece
of the local Langlands correspondence for certain wild Weil parameters
of low conductor.