We are pleased to announce London Mathematical Society’s Annual General Meeting and Naylor Prize Lecture will take place on Friday 11 November from 3.00 – 6.00 pm at BMA House, Tavistock Square, London
• Alan Champneys (Bristol): Bumps, blips and bulges; the theory of localised pattern formation
Abstract: This talk will introduce work carried out over the past 20 years or more, starting with work in Bath with John Toland on localised solutions to certain partial differential equations and how they can explain a wide variety of different physical phenomena. One of the key results is the theory of so-called homoclinic snaking, on how an infinity of different stable solutions naturally arise. Applications occur in elastic buckling problems, nonlinear optics, fluid mechanics and plant biology. I shall show how, at least in one spatial dimension, techniques from dynamical systems theory can be used to show existence and qualitative properties of the bumps, blips or bulges. The theory also guides the kind of numerical techniques that can be used to efficiently compute them. More precise mathematical results tend to require an understanding of beyond-all-orders asymptotic methods, which will be described in Jon Chapman’s prize-winning talk.
• Announcement of Election Results
• S. Jon Chapman (Oxford) – Naylor Lecture: Asymptotics beyond all orders: the devil’s invention? “Divergent series are the invention of the devil, and it is shameful to base on them any demonstration whatsoever.” — N. H. Abel.
Abstract: The lecture will introduce the concept of an asymptotic series, showing how useful divergent series can be, despite Abel’s reservations. We will then discuss Stokes’ phenomenon, whereby the coefficients in the series appear to change discontinuously. We will show how understanding Stokes phenomenon is the key which allows us to determine the qualitative and quantitative behaviour of the solution in many practical problems. Examples will be drawn from the areas of surface waves on fluids, crystal growth, dislocation dynamics, localised pattern formation, and Hele-Shaw flow.
The meeting will include the presentation of certificates to all 2016 LMS Prize-winners.
The meeting will be followed by a reception and the Society’s Annual Dinner, which will also take place at BMA House. The cost to attend the dinner will be £53 per person. Those wishing to attend the dinner should contact Carol Chessis (AnnualDinner_RSVP@lms.ac.uk) by Friday 28th October.
We would be pleased to welcome you at the AGM and we would be grateful if you circulate this notice to colleagues who may also be interested in attending.