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Department of Mathematical Sciences

Research Seminar Series

Applied Mathematics Seminars

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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


Arithmetic Study Group

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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


Centre for Particle Theory Colloquia

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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


Computing Seminars/Talks

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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


CPT Student Seminar

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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


Departmental Research Colloquium

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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


Distinguished Lectures and Public Lectures

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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


Geometry and Topology Seminar

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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


Informal HEP Journal club

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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


Maths HEP Lunchtime Seminars

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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


Pure Maths Colloquium

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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


Statistics Seminars

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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


Stats4Grads

Arithmetic Study Group: Paramodularity of abelian surfaces

Presented by Tobias Berger, University of Sheffield

12 December 2017 14:00 in CM 219

The key ingredient in Wiles' proof of Fermat's last theorem was to establish the modularity of elliptic curves. Despite many impressive advances in the Langlands programme the analogous question of modularity for abelian varieties of dimension 2 is far from settled. I will report on work in progress with Kris Klosin on the modularity of Galois representations $G_{\mathbf{Q}} \to {\rm GSp}_4(\mathbf{Q}_p)$ that are residually reducible. I will explain, in particular, how this can be used in certain cases to verify Brumer and Kramer's paramodular conjecture for abelian surfaces over Q with a rational torsion point of order p.

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.