Research Seminars in the School of Mathematical Sciences

The School of Mathematical Sciences host regular research seminars delivered by internal and external researchers on topics across mathematical sciences.  Seminars take place on the Kevin Street campus and are open to all.

Seminar 25/10/11: On the integrability of the perturbed KdV hierarchy with generic self-consistent sources

On the integrability of the perturbed KdV hierarchy with generic self-consistent sources
Georgi Grahovski
Dublin Institute of Technology
Tuesday 25 October 2011
1pm, Room KA3-011, DIT Kevin Street

Abstract:

First we will review briefly the methods for studying soliton perturbations. Then we will describe a class non-holonomic deformations of the KdV hierarchy by using the expansions over the so-called "squared solutions" (squared eigen-functions). Such deformations are equivalent to perturbed models with external (self-consistent) sources. In this regard, the KdV6 equation is viewed as a special perturbation of KdV equation. Applying expansions over the symplectic basis of squared eigenfunctions, the integrability properties of the KdV hierarchy with generic self-consistent sources are analyzed. This allows one to formulate a set of conditions on the perturbation terms that preserve the integrability.

Seminar 18/10/11: Polynomials of degree n

Polynomials of degree n
Anthony Brown
University College Dublin
Tuesday 18 October 2011
1pm, Room KA3-011, DIT Kevin Street

Seminar 29/09/11: Teaching the weak student

Teaching the weak student
David McCarthy
Dublin Institute of Technology
Thursday 29 September 2011
1pm, Room KEB-008, DIT Kevin Street

Seminar 06/10/11: Quantum Hall Effect

Quantum Hall Effect
Brian Dolan
NUI Maynooth
Thursday 6 October 2011
1pm, Room KA3-011, DIT Kevin Street

Seminar 22/09/11: On the integrability of symplectic Monge-Ampere equations

On the integrability of symplectic Monge-Ampere equations
Evgeny Ferapontov
University of Loughborough
Thursday 22 September 2011
1pm, Room KE2-005, DIT Kevin Street