Description
Number theory seminar III.
Speaker: Shaunak Deo.
Affiliation: TIFR Mumbai.
Date and Time: Friday 25 October, 4:00 pm - 5:00 pm.
Venue: Room 215, Department of Mathematics.
Title: Effect of level raising on pseudo-deformation rings.
Abstract: Given a prime p, an integer N and a 2 dimensional
pseudo-representation of G_{Q,Np} over a finite field of characteristic p,
we will analyze how the structure of the universal pseudo-deformation ring
changes after allowing ramification at a prime $\ell$ not dividing Np.
This question has been studied by Boston and Bockle for deformation rings
of absolutely irreducible representations and Borel representations,
respectively. As a related question, we will also determine when a
pseudo-representation arises from an actual representation. The talk will
begin with a brief survey of the theory of pseudo-representations.