# Research Seminar Series

### Applied Mathematics Seminars

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

Let E/F be a finite Galois extension of totally real number fields and

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

### Arithmetic Study Group

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

Let E/F be a finite Galois extension of totally real number fields and

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

### Centre for Particle Theory Colloquia

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

Let E/F be a finite Galois extension of totally real number fields and

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

### Computing Seminars/Talks

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

### CPT Student Seminar

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

### Departmental Research Colloquium

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

### Distinguished Lectures and Public Lectures

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

### Geometry and Topology Seminar

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

### Informal HEP Journal club

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

### Maths HEP Lunchtime Seminars

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

### Pure Maths Colloquium

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

### Statistics Seminars

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

### Stats4Grads

## Arithmetic Study Group: The p-adic Stark conjecture at s=1 and applications

21 November 2017 14:00 in *CM 219*

let p be a prime. The `p-adic Stark conjecture at s=1' relates the

leading terms at s=1 of p-adic Artin L-functions to those of the

complex Artin L-functions attached to E/F. When E=F this is equivalent

to Leopoldt’s conjecture for E at p and the ‘p-adic class number

formula’ of Colmez. In this talk we discuss the p-adic Stark

conjecture at s=1 and applications to certain cases of the equivariant

Tamagawa number conjecture (ETNC). This is joint work with

Andreas Nickel.

Contact athanasios.bouganis@durham.ac.uk or pankaj.vishe@durham.ac.uk for more information

Information about seminars for the current academic year. For information on previous years' seminars please see the seminar archives pages.