![School of Mathematics Event](/sites/default/files/styles/two_column_medium/public/2019-09/sm_default.jpg?itok=gMvWynkh)
Galois Representations and Automorphic Forms Seminar
A Semistable Model for the Tower of Modular Cures
The usual Katz-Mazur model for the modular curve X(p^n) has horribly singular reduction. For large n there isn't any model of X(p^n) which has good reduction, but after extending the base one can at least find a semistable model, which means that the special fiber only has normal crossings as singularities. We will reveal a new picture of the special fiber of a semistable model of the entire tower of modular curves. We will also indicate why this problem is important from the point of view of the local Langlands correspondence for GL(2) .
Date & Time
October 27, 2010 | 2:15pm – 3:15pm
Location
S-101Speakers
Affiliation
Member, School of Mathematics