## 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 09/04/12: W.S Gosset or "Student" - the Guinness Brewer in charge of Statistics

W.S Gosset or "Student" - the Guinness Brewer in charge of Statistics

Philip Boland

University College Dublin

Thursday 19 April 2012

1pm, Room KA3-011, DIT Kevin Street

Abstract:

The talk about William Sealy Gosset, a famed statistician from Guinness, will be of a general and historical nature, comprehensible to anyone with an interest in statistics and/or industrial mathematics.

## Seminar 29/03/12: Integrable models for shallow water with 'energy dependent' spectral problems

Integrable models for shallow water with 'energy dependent' spectral problems

Tony Lyons

Dublin Institute of Technology

Thursday 29 March 2012

1pm, Room KA3-011, DIT Kevin Street

Abstract:

We study the inverse problem for spectral operators with 'energy depending potentials'. In particular, we study spectral operators with quadratic dependence on the spectral parameter. The corresponding hierarchy of integrable equations includes the Kaup-Boussinesq equation. The talk will briefly review the Riemann-Hilbert problem formulation for this inverse problem. We will then discuss the explicit construction of the one-soliton solution. We also present a brief overview of the multi-soliton solution. Based on work with R. Ivanov.

## Seminar 23/02/12: What is a real number?

What is a real number?

Sean Dineen

University College Dublin

Thursday 23 February 2012

1pm, Room KA3-011, DIT Kevin Street

Abstract:

We give one answer to this question

## Seminar 15/03/12: Ampere's horizontal chords

Ampere's horizontal chords

Michael Mackey

University College Dublin

Thursday 15 March 2012

1pm, Room KA3-011, DIT Kevin Street

## Seminar 06/12/11: An introduction to the ring spur assignment problem

An introduction to the ring spur assignment problem

Paula Carroll

Quinn & Smurfit Schools of Business, UCD

Tuesday 6 December 2011

1pm, Room KA3-011, DIT Kevin Street

Abstract:

The Ring Spur Assignment Problem (RSAP) is motivated by a practical situation: a network operator seeks to identify an economical fault tolerant Next Generation Network (NGN). The aim of the presentation is to introduce the RSAP, set it in context relative to related problems in the literature and outline a cutting plane approach to solving the RSAP. Cutting plane approaches have been successful in solving large combinatorial optimisation problems. Using a cutting plane approach, the problem is modelled as a minimal Integer Programming problem, the relaxed LP solved and additional cuts (violated constraints) are separated and added to speed up the branch and bound search.