- ICM 2006 Closing Round Table
- Special Lecture on the Poincaré Conjecture
- Emmy Noether Lecture
- Special Lecture by B. Mandelbrot
- Panel discussion organised by the European Mathematical Society (EMS)
- LMS-RSME Special Lectures
- e-Learning Mathematics, a Panel Discussion
- Mathematics for Science and Society, a Panel Discussion

Tuesday, August 29, 18:00-20:00

*Moderator:***John Ball,** IMU President*Mathematical Institute, University of Oxford, Oxford, United Kingdom*

*Panelists:*

A report on the Poincaré Conjecture

Thursday, August 24, 14:00-14:45

This lecture aims to popularize the recent advances on the Poincaré conjecture in a

comprehensible way for a large scientific community and even to the educated layman.

Attendance to this lecture will not require registration to the Congress.

Mathematical problems in General Relativity

Friday, August 25, 11:45-12:45

**B. Mandelbrot**, *IBM Watson, Yale University, USA*

The Nature of roughness in mathematics, science and art Saturday, August 26, 19:00-20:00

Should mathematicians care about communicating to broad audiences? Theory and Practice.

Wednesday, August 23, 18:00-20:00

*Moderator:***Jean Pierre Bourguignon**

CNRS and Institut d’Hautes Études Scientifiques, Bures sur Yvette, France

*Panelists:*

Björn Engquist*Royal Institute of Technology, Stockholm, Sweden and University of Texas at Austin, USA*

**Marcus du Sautoy**

Oxford University, UK

**Alexei Sossinsky*** Institute for Problems in Mechanics, Russian Academy of Sciences, and Independent University of Moscow, Russia *

**François Tisseyre*** (Film director) Écoutez voir, France*

**Philippe Tondeur**

**Olga Gil-Medrano,** *Universitat de València, València, Spain*

**Ari Laptev,** *Kungliga Tekniska Högskolan, Stockholm, Sweden*

**Marta Sanz-Solé,**

Description of the activity

This activity is addressed to mathematical researchers. Its aim is to invite them to reflect on their role in the increasingly important battle about communicating about science.In most countries, mathematics is not present at par in the media with other basic sciences. This is especially true as far as the communication of outstanding new results, their significance and perspectives of development of our field.

The main purpose is to nurture the debate on why an efficient communication about mathematics, as a thriving part of science, is needed and how it can be achieved.

The format is to have some prominent mathematicians and non mathematicians who contributed to this question share their experience by giving a short presentation (about 15 minutes each). The total length of the event will be two hours, including a debate with the audience at mid time and after all presentations have been made.

Content

As a science, Mathematics is developing at an unprecedented pace, expanding into new territories and playing a key role in many breakthroughs and crucial achievements in other sciences. It also has a prominent impact in spectacular technological advances of relevance for our daily life.

These new developments need to be presented to broader audiences in order not to create bottlenecks and to trigger creativity and connections of all sorts.In the panel discussion, we plan to analyse the importance of communication and skills required to contribute to it successfully from several points of view, for instance:

- To secure an efficient and productive collaboration with professionals of all kinds;
- To take up the challenge of making the new opportunities appealing to young people;
- To make the case for the value of fundamental mathematical research as major ingredient for

really creative future developments, including outside mathematics; - To ensure dissemination of mathematical knowledge and know-how to practitioners of other

disciplines and to industrial specialists; - To discuss obstacles encountered to have access to some media and to obtain

the necessary funding.

A joint scientific activity organized by the London Mathematical Society and the Real Sociedad Matemática Española.

Aufwiedersehen surfaces, revisited

Musical rhythm and computational mathematics

The Executive Committee of the Spanish Conference of Deans of Mathematics

Members of the panel

Dean of the Faculty of Mathematics and Statistics, Universitat Politècnica de Catalunya

President of the Spanish Conference of Deans of Mathematics

**Prof. Hyman Bass**

School of Education, University of Michigan

**Prof. Hilda Bolaños Evia**

Instituto Tecnológico y de Estudios Superiores de Monterrey

**Prof. Ruedi Seiler**

Institut für Mathematik, MA7-2, Technische Universität Berlin

**Prof. Mika Seppälä**

University of Helsinki and Florida State University

Friday, August 25, 15:00-17:00

Brief description of the activity

“In addition to the current state of knowledge about the learning of Mathematics and its aims in today’s society, the main point of discussion will centre onways of improving the process of learning, and especially the role of e-Learning technologies in this process. Participants will first be acquainted with the situation of e-Learning Mathematics as of August, 2006, including distance-learning or open university courses, and then with the areas where e-Learning is likely to develop. Finally, consideration will be given to the impact of new learning techniques on the role of the new educators in mathematics.”Moderator:

Mina Teicher

Emmy Noether Research Institute for Mathematics, Ramat-Gan, Israel

Organised by the Advisory Committee of the NEST project Shaping New Directions in Mathematics for Science and Society of the European Commission, a two-year initiative (2005-2007) whose aim is to promote innovative mathematical research and to explore ways of training doctoral-level researchers in the following emerging topics:

- Systems Biology
- Risk Assessment
- Mathematical Neuroscience
- Digital Content Security

This panel discussion is addressed to a broad audience, especially to researchers in Mathematics with an interest in hearing about rapidly developing new specialties linking Mathematics with other sciences or aiming to applications with a visible impact on society. The debate will address the following points:

- What is the current impact of Mathematics on each of the four project topics?
- To what extent is the development of Mathematics influenced by advances in each of these topics?
- How can Mathematics achieve a stronger presence in multidisciplinary funded programmes?

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2006 Madrid. All Rights Reserved.