### Mathematics & Statistics, Lancaster University

Shared publicly -London Mathematical Society 150th Anniversary Hardy Lecture

Professor Nalini Joshi, University of Sydney

When applied mathematics collided with algebra

Lancaster University Management School, Lecture Theatre 3

Nonlinear integrable systems arose in applied mathematics and physics, when they were discovered as a possible resolution of the Fermi-Pasta-Ulam problem. More recently, it has been discovered that integrable systems (such as the Painlevé equations) arise from translations on affine Weyl groups, which are more familiar to algebraicists. I will explain how this amazing development gives rise to properties that all applied mathematicians should be able to master, through examples.

The 150th Anniversary Hardy Fellow, Nalini Joshi (University of Sydney), will visit Bath, Glasgow, Imperial College, Lancaster, Leeds, Loughborough, Kent and Oxford during the Special Hardy Lecture Tour in June and July 2015 before giving the 150th Anniversary Hardy Lecture in London on Friday 3 July.

Her research interests lie in non-linear differential and difference equations, with a particular focus on asymptotics and integrable systems such as the Painlevé equations.

The lecture is open to all. The lecture will be followed by a drinks reception.

Professor Nalini Joshi, University of Sydney

When applied mathematics collided with algebra

Lancaster University Management School, Lecture Theatre 3

Nonlinear integrable systems arose in applied mathematics and physics, when they were discovered as a possible resolution of the Fermi-Pasta-Ulam problem. More recently, it has been discovered that integrable systems (such as the Painlevé equations) arise from translations on affine Weyl groups, which are more familiar to algebraicists. I will explain how this amazing development gives rise to properties that all applied mathematicians should be able to master, through examples.

The 150th Anniversary Hardy Fellow, Nalini Joshi (University of Sydney), will visit Bath, Glasgow, Imperial College, Lancaster, Leeds, Loughborough, Kent and Oxford during the Special Hardy Lecture Tour in June and July 2015 before giving the 150th Anniversary Hardy Lecture in London on Friday 3 July.

Her research interests lie in non-linear differential and difference equations, with a particular focus on asymptotics and integrable systems such as the Painlevé equations.

The lecture is open to all. The lecture will be followed by a drinks reception.

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