Event time:
Tuesday, February 25, 2014 - 11:30am to Monday, February 24, 2014 - 7:00pm
Location:
LOM 205
Speaker:
David Pollack
Speaker affiliation:
Wesleyan
Event description:
A theorem of Hida tells us that ordinary modular forms on GL2 deform in families of varying p-adic weight. Analogous results show that certain homology classes on GL3 deform in p-adic families. In this case the weight space (up to twists) is two-dimensional, but the family may only be defined over (an open subset of) a one-dimensional curve in weight space. In this talk we’ll give an introduction to these p-adic families and report on ongoing work to compute approximations to the curves over which these deformations exist. This is joint work with Avner Ash.