ICMS Newsletter

SCIENTIFIC PROGRAMME 1996

ASSESSMENT OF ENVIRONMENTAL IMPACT

Statistical Issues in Monitoring & Regulating the State of the Environment

20 - 22 March 1996

Speakers:

H Hillier (Department of the Environment), L Cox (US Env Protection Agency), K R Clarke (Plymouth Marine Laboratory), M Thomas (Australia), R Carroll (Texas A & M University), C Anderson (Sheffield), A Saltelli (Italy), J Tawn (Lancaster), R Smith (Edinburgh).

A three day workshop on the above topic will be held at the International Centre for Mathematical Sciences (ICMS) in Edinburgh from 20 to 22 March 1996. The workshop will bring together regulators and legislators with statisticians in order to address some of the statistical issues encountered in qualitative and quantitative description of the environment. The meeting comes at a time of change with the creation of the UK environmental protection agencies and the formation of the European Environment Agency. A number of key speakers from environmental agencies and government departments as well as academic statisticians have been invited to speak on the key themes. The general objectives of the workshop are:

The organisation committee is Dr J Cuthbert (Scottish Office), Dr A Gould (Scottish Home and Health Dept), Dr D Hirst and Mr R Kempton (BioSS) and Dr M Scott (University of Glasgow. Short contributions (either oral and poster) will also be welcomed. Participants will be limited to 50. Further details can be obtained from Dr Marian Scott, Department of Statistics, University of Glasgow, G12 8QW, Tel 0141 330 5125, Fax 0141 330 4814, e-mail marian@stats.gla.ac.uk, or Lucy Young, Tel 0131 220 1053, e-mail icms@maths.ed.ac.uk.

REPRESENTATION THEORY AND AUTOMORPHIC FORMS

Instructional Conference

17 - 29 March 1995

Organising Committee:

L Clozel (Orsay), M Duflo (Paris), A W Knapp (Stony Brook), T N Bailey (Edinburgh).

This intensive instructional conference about semisimple groups will contain approximately 30 lectures on representation theory and 20 lectures on modular and automorphic forms, leading to the representation-theoretic input to Wiles' proof of Fermat's last theorem.

The following short lecture courses are planned:

The following people have agreed to give lecture courses:

W Baldoni-Silva, E van den Ban, D Blasius, L Clozel, P Delorme, R Donley,M Flensted-Jensen, S Helgason, H Jacquet, A Knapp, R Langlands, P Littelmann, C Moeglin, J Rogawski, H Schlichtkrull, W Schmid, D Vogan.

Support

There is money available from an EU TMR grant to enable young researchers who are nationals of member states or associated states of the EU to attend this meeting. To be considered for this, application forms must be returned by 19 January 1996.

It is possible that we may also have money available for participants from the countries of Central Europe and newly independent states of the former Soviet Union.

To receive an application form contact Margaret Cook, ICMS, 14 India St., Edinburgh, Scotland, EH3 6EZ, Tel: +44 (0)131-220-1777, Fax: +44 (0)131-220-1053, e-mail icms@maths.ed.ac.uk, or http://www.icms.org.uk/.

CURVES AND COMPUTATION

25 - 29 March 1996

Speakers:

A Bremner (Arizona); F Beukers (Utrecht); H Darmon (MSRI and McGill); N Elkies (Harvard); J-F Mestre (Paris); E F Schaefer (Santa Clara); R Schoof (Rome); J H Silverman (Brown); H Stichtenoth (Essen).

In recent years there has been an explosion of interest in Computational Number Theory, as a consequence both of the availability of much more powerful computing facilities, and of the upsurge in interest in constructive mathematics. In Spring 1996 we plan to hold a workshop on one part of this field: "Curves and Computation". The conference will cover computational aspects of curves of small genus (largely elliptic curves), more general curves, as well as applications (e.g. to coding and cryptography), and connection with symbolic algebra. For further details contact:

Dr C J Smyth, Edinburgh University, Tel. 0131-650 5054, Fax 0131-650 6553 e-mail chris@maths.ed.ac.uk or Dr J E Cremona, Exeter University, Tel. 01392 263986, Fax 01392- 263997, e-mail cremona@maths.ex.ac.uk

INTERPLAYS BETWEEN GEOMETRY AND TOPOLOGY

1 - 30 June 1996

The International Centre for Mathematical Sciences at 14 India Street, Edinburgh will host a workshop devoted to the interplay between geometry and topology arising in the study of problems in differential and algebraic geometry. The two main themes of the workshop, which will be held 1-30 June 1996, will be the study of the global geometry and topology of moduli spaces and the topology of special Riemannian geometries.

Specific topics to be discussed include:

Two specific weeks will each contain a special programme of seminars and lectures on the two main themes.

To make the workshop particularly useful for graduate students and recent Ph.D.s, at the beginning of both the special weeks there will be an instructional series of lectures covering general aspects of the topics to be discussed. These programmes will be given both by the participants for the whole workshop and by others who may participate only for the special week.

The following mathematicians have already indicated that they plan to attend the workshop:

C F Bodigheimer, C P Boyer, M C Crabb, J Hurtubise, J D S Jones, F C Kirwan, M Kreck, H B Lawson, C LeBrun, P Lima-Filho, M L. Michelsohn, R J Milgram, M Murray, S Salamon and S Stolz.

The workshop organizers are T N Bailey, K Galicki, B Mann, E G Rees, and M A Singer. We hope to have some additional funding available for UK mathematicians interested in attending.

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For further details please contact B Mann (mann@maths.ed.ac.uk), Department of Mathematics and Statistics, University of Edinburgh, Edinburgh, EH9 3JZ. Fax 0131-650-6553.

GRID ADAPTATION IN COMPUTATIONAL PDES: THEORY AND APPLICATIONS

1 - 5 July 1996

The conference will bring together theoreticians and practitioners in the field of grid adaptation in PDEs to present and discuss new results and trends. The meeting will include invited and contributed talks.

Adaptive methods are generally used with finite element and finite volume methods and attempt to distribute the mesh points throughout the solution domain of a problem in such a way that they are concentrated in regions with important local fine detail and rapid changes and sparse where the solution changes slowly. The distribution of the points is often governed by computed estimates of the error. The overall aim is to provide accurate approximations efficiently.

The scientific committee for the meeting includes: M Baines (Reading), M Berzins (Leeds), P Deuflhard (Konrad-Zuse-Zentrum, Berlin), J Flaherty (Rensselaer, USA), L Formaggia (Sardinia), K Morgan (Swansea), J Verwer (Netherlands), N Weatherill (Swansea).

Local organisation will be by ICMS and D B Duncan of the Department of Mathematics at Heriot-Watt University, Edinburgh. For further information about the conference, please consult the WWW page URL http://www.icms.org.uk/apde/ where you will also find a form to fill in to get on our mailing list. If you do not have WWW access and want to get on our mailing list, then e-mail your name, e-mail and postal addresses to Dugald Duncan at dugald@ma.hw.ac.uk with subject line "APDE meeting".

NONSTANDARD ANALYSIS AND ITS APPLICATIONS

Research Programme

1 July - 17 August 1996

Organisers:

N J Cutland (Hull), L Arkeryd (Goteborg), C W Henson (Illinois).

There will be a seven week programme on Nonstandard Analysis and its Applications, with three phases as described below. Nonstandard methods are currently being effectively used in many areas of mathematics - for example functional analysis, harmonic analysis, differential equations, probability and stochastic analysis, mathematical physics and mathematical finance theory. The techniques are particularly relevant for infinite dimensional analysis, understood in its broadest sense.

This programme will place particular emphasis on making the power of nonstandard methods more widely known and available amongst the community of mathematical researchers. The programme will have three components, as follows.

1. INSTRUCTIONAL CONFERENCE: NATO Advanced Study Institute (ASI) 1-13 July

This will be an intensive Instructional Conference for research mathematicians wishing to learn the basics of nonstandard techniques and the range of applications of these tools. This will be aimed at the postdoctoral level, but will be accessible to good research students.There will be courses covering: foundations of nonstandard analysis and nonstandard models, nonstandard real analysis, topological applications, Loeb measure theory, applications in probability and stochastic analysis, applications in functional analysis, applications to differential equations (ODEs, PDEs, SDEs and SPDEs), applications in mathematical physics and mathematical finance theory.

In addition to the lecture programme there will be tutorial and discussion sessions. The lecturers will be: L Arkeryd (Goteborg), E Benoit (Valbonne), M Capinski (Krakow), N J Cutland (Hull), C W Henson (Illinois), R Jin (Rutgers), H J Keisler (Wisconsin), P E Kopp (Hull), T Lindstrom (Oslo), P A Loeb (Illinois), D A Ross (Hawaii), M Wolff (Tubingen).

Support for suitable participants from NATO countries and NATO Cooperation Partner countries is available.

2. INTERNATIONAL RESEARCH WORKSHOP: 14 July - 10 August

A number of mathematicians (nonstandard analysts and others) will be in residence, based in India Street, for a period of dissemination, stimulation, interaction and collaboration. The participants will include experts who are aware of important mathematical issues and problems ("pure" or "applied") that are appropriate for nonstandard attack, who are interested to join forces with nonstandard experts to discuss and begin collaborative work. The programme will be flexible, with the possibility of attendance for varying periods of time. It is expected that there will be periods of concentration on certain themes - including analysis, geometry and topology, measure theory, probability and stochastic analysis, differential equations, mathematical physics, mathematical finance theory, and foundations and mathematical logic.

Those expected to participate include: S Albeverio, R Anderson, L Arkeryd, C Barnett, Z Brzezniak, M Capinski, N Cutland, I Davies, M Davis, M Dempster, F Diener, E Gordon, W Henson, R Hudson, S Jacka, R Jin, H Keisler, E Kopp, T Lindstrom, P Loeb, A Macintyre, A Palczewski, D Ross, J Shackell, N Vorobjov, W Willinger, M Wolff.

Participation in this phase will be by invitation only, but anyone who is interested (especially "standard" mathematicians) should contact the organisers.

3. INTERNATIONAL RESEARCH SYMPOSIUM: 11 - 17 August

This will be an open meeting, with invited speakers and contributed talks reporting on recent research in nonstandard analysis and its applications.

For further information about the NATO ASI or the INTERNATIONAL RESEARCH SYMPOSIUM, contact ICMS, 14 India Street, Edinburgh, EH3 6EZ, e-mail: icms-conf@maths.ed.ac.uk, Tel 0131-220-1777, Fax 0131 220 1053

For other matters, contact N J Cutland, School of Mathematics, University of Hull, Hull HU6 7RX; e-mail: n.j.cutland@maths.hull.ac.uk; Fax (+44)-(0)1482-466218.

VAPNIK-CHERVONENKIS DIMENSION

9 - 13 September 1996

Organisers:

Mark Jerrum (Edinburgh), Angus Macintyre (Oxford), John Shawe-Taylor (Royal Holloway, London).

The Vapnik-Chervonenkis (VC) dimension is a combinatorial parameter of a set system (equivalently, of a class of predicates) which, informally, can be said to characterise the expressibility of the class. This parameter is of great significance in a wide range of applications: in statistics, theoretical computer science, and machine learning, for example. In statistics, one may identify "set" with "event", in which case finite VC dimension entails a (uniform) analogue of the strong law of large numbers for the class of events in question. (This is the situation described by the phrase "uniform convergence of empirical measure"). In learning theory (the mathematical theory of inductive inference), one may identify "set" with "concept", in which case the VC dimension of the concept class gives quite tight bounds on the sample size that is necessary and sufficient for a learner to form an accurate hypothesis from classified examples.

The Workshop on the Vapnik-Chervonenkis dimension, which takes place during the week 9-13 September 1996, is intended to be a multidisciplinary meeting, covering the topic in all its aspects: probability and statistics, computational learning theory, geometry, and applications in computer science.

The invited speakers include: Shai Ben-David, David Haussler, J Matou ek and V N Vapnik.

The organisers hope that an exchange of ideas between the different cultures will engender a lively and stimulating meeting. For further information contact ICMS.

PROBABLISTIC METHODS IN POLYMER PHYSICS

16 - 27 September 1996

Organisers:

Terence Chan (Heriot-Watt) and Kalvis M Jansons (University College, London)

Scientific Advisors:

Prof Michael Cates (University of Edinburgh) and Prof Marc Yor (Laboratoire de Probabilities, Paris VI).

Polymers form the basis of many biological, natural or synthetic materials and their study has long been a major preoccupation of physicists as well as other scientists. For quite a long time now, various problems in polymer physics have found natural formulations in the context of problems in probability theory. However, it is only in the last decade or so that significant advances have been made by probabilistic approaches. At the same time, some of the most difficult currently open problems in probability theory have been motivated by polymer physics. While modern probability theory has in recent years opened up new vistas of potential applications to polymer physics, many physically simple questions lead to mathematically very difficult problems. Thus, in some respects, the current "state of the art'' is still in the dark ages. This situation is at once tantalizing and frustrating.

The intension is to bring together physicists and theoretical probabilists, so that the latter can be exposed to the wide variety of applications and interesting problems which arise in polymer physics and the former can be acquainted with the relevant techniques and ideas in probability.

The format of the meeting will consist of programmes of conference-type lectures, as well as a less intensive and more informal workshop revolving around informal discussions. An outline timetable for the meeting (in chronological order) is as follows.

INTRODUCTORY TALKS: this will consist of a series of expository and instructional lectures of 2--3 days duration, which is designed to familiarise the core participants with each other's work and to develop a common framework and language for further discussions later. Talks of a more practical nature will also take place during this period.

INFORMAL WORKSHOP: this will be an opportunity for some of the participants to engage in informal discussions and interactions. There will also be a series of informal seminars. It is envisaged that this phase will be of about a week's duration.

CONCLUDING SESSION: this will consist of lectures of a more specialised and theoretical nature, reporting on the more advanced state of the art developments and including the results of the earlier interactions among the core participants where appropriate. This phase is expected to be of 3--4 days' duration.

Some major participants who are likely to come include: E. Bolthausen (Zurich), M. Cates (Edinburgh), B. Derrida (ENS), B. Duplantier (Saclay), D. Ertas (Harvard), F. den Hollander (Nijmegen), B. Tóth (Budapest).

Some financial support for participants is available. Research students and young post-doctoral researchers are particularly welcome.

Registration Form

If you are interested in attending this meeting, please complete and sign the following application form then return it by Fax/Mail/E-Mail to

ICMS
14 India Street
Edinburgh EH3 6EZ
Scotland

Phone: +44(0)131-220-1777

Fax: +44(0)131-220-1053

Email: icms@maths.ed.ac.uk

Copies of this form are also available by Mail/Fax from the above address.

DEADLINE FOR APPLICATIONS: 31 August 1996

Please note that space at the workshop is limited

Submitting Abstracts

Subject to space, contributed talks of up to 30 minutes in length (including discussion) are welcome. Please give title and send abstract (max 500 words) in standard LaTeX form by E-mail to terence@ma.hw.ac.uk
The subject line should be Polymer Physics

If you would like more information, please e-mail terence@ma.hw.ac.uk

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Chris Eilbeck / Heriot-Watt University/ chris@ma.hw.ac.uk