Algebra/Number Theory Seminar

Extended weight sheaves for Hilbert modular forms

Lynnelle Ye (Stanford)

Thursday, April 1st, 2021
2:00 PM - 3:00 PM
Zoom id: 967 5190 0666

The eigencurve, parametrizing p-adic overconvergent modular eigenforms, was constructed by Coleman and Mazur in 1998. Generalizing this, eigenvarieties parametrizing p-adic overconvergent cuspidal Hilbert modular eigenforms were constructed by Andreatta, Iovita, and Pilloni. This requires defining overconvergent Hilbert eigenforms as sections of certain invertible weight sheaves on certain open subsets of Hilbert modular varieties. We will discuss how to extend the domains on which these sections converge, and possible applications to the geometry of the corresponding eigenvarieties.

Event contact: c dot d dot haessig at rochester dot edu