Number Theory Seminar: Zhengyu Xiang (UCLA), 'Twisted eigenvariety and self-dual Hecke eigensystems for Gl_n'

Event Date: 

Friday, November 9, 2012 -
2:00pm to 3:00pm

Event Location: 

  • 6635 South Hall

In this talk, we will show that every classical self-dual Hecke
eigensystem can be deformed into a p-adic family of classical Hecke
eigensystems. This is a stronger version of the inverse of
Ash-Pollack-Steven's conjecture. To do this, we constructed an
eigenvariety of G_ln parameterizing all self-dual Hecke eigensystems of
Gl_n.