# Workshop Programme

## for period 15 - 16 April 2010

### Women in Mathematics Meeting

15 - 16 April 2010

Timetable

Thursday 15 April | ||||

10:30-11:00 | Registration & Coffee | |||

11:00-11:40 | Gog, J (Cambridge) |
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Disease dynamics: from equation to experiment (and back) | Sem 1 | |||

11:40-12:20 | Osinga, HM (Bristol) |
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The mystery of chaos in the Lorenz equations | Sem 1 | |||

Preprint available at http://hdl.handle.net/1983/1562 Pablo Aguirre, Eusebius J. Doedel, Bernd Krauskopf and Hinke M. Osinga |
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12:20-13:00 | Snaith, N (Bristol) |
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Random matrices and Riemann zeros | Sem 1 | |||

13:00-14:00 | Lunch & poster session | |||

14:00-14:20 | Newton, R (Cambridge) |
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The local reciprocity map: finding an explicit formula for a canonical isomorphism | Sem 1 | |||

I will start by defining the p-adic numbers, the classic example of a local field. I will go on to state the existence of the local reciprocity map and describe the cases for which an explicit formula has been found. I will end by trying to explain what makes it difficult to compute local reciprocity in the remaining cases. |
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14:25-14:45 | Krivko, M (Leicester) |
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A hybrid model for plastic card fraud detection systems | Sem 1 | |||

We present the framework for a hybrid model for plastic card fraud detection systems. The proposed data-customised approach combines elements of supervised and unsupervised methodologies aiming to compensate for the individual deficiencies of the methods. We demonstrate the ability of the hybrid model to identify fraudulent activity on the real debit card transaction data. We also explore the model's efficiency against that of the existing monitoring system of the collaborating bank, using appropriate performance assessment criteria. |
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14:50-15:10 | Graefe, E (Bristol) |
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Non-Hermitian quantum systems, classical dissipation, and PT-symmetry | Sem 1 | |||

Non-Hermitian operators play a crucial role in various fields of mathematics and physics and have attracted considerable attention recently from both fields. While in quantum mechanics the Hamiltonian is traditionally demanded to be Hermitian for the description of a closed system, there is a rapidly growing interest in the use of non-Hermitian Hamiltonians arising from different areas. The first is the field of open quantum systems where the overall probability decreases in time, such as decay, transport and scattering phenomena. The second motivation arises from the observation that there is a class of non-Hermitian operators (often called PT-symmetric) yielding purely real eigenvalues that can be used to define a fully consistent quantum theory for closed systems. In the present talk we will give a brief overview of non-Hermitian quantum theories, and furthermore introduce their classical analogues, described by dissipative phase space flows. |
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15:15-15:35 | Aamir, N (Essex) |
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New Multistep methods | Sem 1 | |||

15:40-16:00 | Jaidee, S (East Anglia) |
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Mertens' Theorem for S- integer Dynamical Systems | Sem 1 | |||

16:05-16:25 | Vriend, N (Cambridge) |
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Solving the mystery of booming sand dunes: an example of wave propagation through a granular material | Sem 1 | |||

"Booming" sand dunes are able to produce a persistent, low-frequency sound that resembles a pure note from a music instrument. A natural or induced avalanche from a slip face of the booming dune triggers an emission that may last for several minutes. The sound has a dominant audible frequency (70 - 105 Hz) and several higher harmonics and may be heard from distances far away. Quantitative field research at the booming dunes of the Mojave Desert and Death Valley National Park has been combined with theoretical modeling to unravel the booming phenomenon. Microphone and geophone recordings of the acoustic emission are used to obtain wave propagation characteristics. Geophysical techniques image the subsurface structure of the dune and reveal a natural internal layering. This layering is crucial for the existence of a natural waveguide that guides and amplifies the waves to a magnificent sound. |
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16:30-17:00 | Tea | |||

17:00-18:00 | Meet the European Mathematical Society Women in Mathematics Committee | |||

18:00-19:00 | Reception | |||

19:30-21:00 | Dinner at Newnham College |

Friday 16 April | ||||

09:00-09:50 | Etheridge, A (Oxford) |
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The pain in the torus: modelling populations in a spatial continuum | Sem 1 | |||

10:00-11:00 | Tobbell, R; Mestel, B; Stallard, G | |||

Initiatives for women mathematicians (UKRC/INI/LMS) | Sem 1 | |||

11:00-11:30 | Coffee | |||

11:30-12:45 | Nerukh, A; Blackstone, V; Cann, K | |||

Funding opportunities for mathematicians | Sem 1 | |||

12:45-13:00 | Introduction to discussion groups | |||

13:00-13:40 | Lunch | |||

13:40-14:30 | Coffee and cake and discussion groups | |||

14:30-15:00 | Feedback | |||

15:00-16:00 | Branner, B (Technical University of Denmark) |
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Why mathematics continues to fascinate me - surgery in holomorphic dynamics in particular | Sem 1 | |||

16:00-16:30 | Tea and departures |