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.

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.

Description

Room No. 215 Department of Mathematics

Date

Fri, October 25, 2019

Start Time

4:00pm-5:00pm IST

Duration

1 hour

Priority

5-Medium

Access

Public

Created by

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Updated

Mon, October 21, 2019 11:59am IST