Annex1 Template for

MARIE CURIE CONFERENCES & TRAINING COURSES

(SCF)

This document applies to:Call Identifier: FP6-2005-Mobility-4

Closure date: 18 May 2005

September 2005

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GUIDELINES FOR THE PREPARATION OF ANNEX I FOR MARIE CURIE CONFERENCES AND TRAINING

COURSES (SCF)

INTRODUCTION

The Annex I is an integral part of the SCF contract. Non-compliance or non-fulfilment of its content will have the same legal consequences as for any default of the other contractual conditions. Its role is not that of an information document; any material, which is useful for understanding, the project, but which is not essential for the tasks to be performed, should not be included in this document.

It should be written in a clear, precise and concise manner. It should also have sufficient flexibility in order to be able to modify the work arrangements so as to achieve the proposed objectives, should this be necessary, without the need for a formal modification of the text. This flexibility is required both for the European Commission as well as for the contractor(s).

The Annex must be written in the third person. It must reflect the details provided in the proposal and should take into consideration any technical issues that may arise during contract negotiation. In particular, it must take into account the level of funding offered and also the comments and any recommendations contained in the Evaluation Summary Report. However, it should exclude all background material in support of the selection of the proposal, but not essential for the implementation of the selected project (for example, previous work undertaken, references to publications, state-of-the-art, future intentions should be excluded). References to “the proposal” should be omitted and the annex should clearly specify all the tasks to be undertaken.

As indicated in the following sections, certain parts of your proposal description should be taken as the basis for the drafting of this description of work.

The proposal acronym should be used as a header on all but the first page. It should be printed on single-sided, numbered A4 pages in Times New Roman 12 point or similar font according to the following instructions:

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All sentences in Italics are "explanatory notes" and should be deleted from the final version of the document

Annex I – Description of work

PART A: CONTRACT DETAILS AND OBJECTIVES

1: Full Title European Training Courses in Group Theory (Geometric, Analytic and Ergodic Aspects of Group Theory)

Short Title: GROUPS

2: Proposal Number 45987Contract Number------------------

3: Duration of the project: 36 months

4: Contractor(s) implementing the Project

The Co-ordinator and other Contractors listed below shall be collectively responsible for execution of work defined in this Annex:

The Co-ordinator 1. Centre National de RecherchS [CNRS] established in France

Other Contractors2. Ecole Polytechnique Fédérale de Lausanne [EPFL] established in Switzerland3. Hebrew University of Jerusalem [HUJI] established in Israel4. Technische Universitaet Graz [TUG] established in Austria5. National and Kapodistrian University of Athens [NKUA] established in

Greece6. Erwin Schroedinger Institute for Mathematical Physics [ESI] estab. in Austria

In the case of a single contractor, the Co-ordinator is referred to as the Contractor. Otherwise, the Co-ordinator and other Contractors are referred to jointly as “the Consortium”.

5: Project Overview (based on Proposal Preparation Forms A1 “Abstract” *)

* i.e. also considering the outcome of the evaluation and subsequent negotiation with Commission Services.

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This mathematics proposal, with group theory at its heart, covers an unusually diverse range of subjects: geometric group theory, harmonic analysis, operator algebras, ergodic theory, amenability, and random walks. These areas form the core of exciting new relationships and so a special effort must be made to encourage communication between experts and beginners in such diverse fields. To achieve this, we intend that participating young researchers attend all events, where international experts will expose them to the latest knowledge through conferences and training courses between 2007 and 2009.The events are as follows:22-26 January 2007, Embeddings of metric spaces into Banach spaces, 1 week conference, Lausanne [EPFL];5 February—2 March 2007, Geometric group theory, 4 week training course, CIRM, [CNRS];25 June –6 July 2007 Amenability, 2 week training course , Vienna. [ESI];January 2008- Expanders, 1week training course, Jerusalem [HUJI];June 2008 , Non--positive curvature and the elementary theory of free groups\/}, one week training course, AAV, Crete [NKUA]Spring 2009, Interactions between operator algebras, groups and geometry, 1 week training course, CIRM [CNRS]July 2009, Boundaries, 1 week training course Graz [TUG]

These events consist mainly of training courses, and it is our firm intention to encourage young European researchers to participate in as many events of the series as possible. During the four months prior to the commencement of the project (i.e. Sept-Dec 2006) the several participants, in consultation with the local organisers, shall establish a core list of eligible researchers in the three categories.

6: Qualitative indicators of progress and success

6.1 Qualitative Indicators The main goals of this project are to encourage scientific exchange between the various participants. Thus, the major qualitative indicators of success are the numbers of doctoral students and young persons attending the meetings and the level of exchange between the leaders of the field and these younger participants. This can be seen in joint projects and cooperation, visits etc organised between participants as a result of interactions initiated during the meetings.

6.2 Milestones and deliverables (based on the Contract Preparation Form A9)

Milestone 1: Periodic activity report: Participant 1 (H. Short and C.Pittet) will produce at the end of 2007, a review of thesis, publications, joint projects and preprints which owe (part of) their existence to the events of this project. References to the collections of notes (maybe in print format) of courses given during the project and their availability on the web will also be noted. Also the appearance of proceedings where planned.

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Milestone 2: Mid term review: Participant 6 (K. Schmidt) will organise a meeting of the participants during the event 3 to review the progress of the project.Milestone 3: Periodic activity : Participant 4 (W. Woess) will produce a review as in 1 at the end of 2008Milestone 4: Final activity report; Participant 1 (H. Short and C. Pittet).

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6.3 Indicative schedule of events (based on Contract Preparation Form A4a)

Period Event No

Event duration Event locationEvent Type

: Conference

(CF) or Training

course (TC)

Number of event participants eligible for

funding

Total number of

event participants

Start date

End date City Country Group

1Group

2Group

3

1 1 22/1/07 26/1/07 Lausanne Switzerland CF 12 20 3 50

1 2 5/2/07 2/3/07 Marseille France TC 12 20 3 50

1 3 25/6/07 6/7/07 Vienna Austria TC 12 20 3 50

2 4 7/1/08 11/1/08 Jerusalem Israel TC 12 20 3 50

2 5 9/6/08 13/6/08 Heraklion Greece TC 12 20 3 50

3 6 13/4//09 17/4/09 Marseille France TC 12 20 3 50

3 7 6/7/09 10/7/09 Graz Austria TC 12 20 3 50

Event Type Total Conferences 1 Total Training courses 6

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7 Quantitative indicators (based on Contract Preparation Form A10)

Global Parameters Total No of event participants

No of events supported (by type)

No of funded researchers (by type)

Level of satisfaction Level of satisfaction of the event participants

International balance International balance

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PART B: IMPLEMENTATION 1

Scientific objectives: (based on section B1 of the proposal description) The mathematical concept of a group was born around 1830 within the work of Galois. Riemann, Poincaré and Lie realised that it plays a fundamental role in analysis and geometry. Today, group theory pervades the whole field of mathematics and physics and appears as one of the most unifying and operative theory in science.

The work of several distinguished mathematicians (for example M. Gromov (IHES Paris) and G. Margulis (Yale)) on groups achieved a synthesis of decades of apparently distinct theories and brought a completely new approach to extremely hard problems in mathematics. Recent developments of these ideas lead to very significant progress in various areas of mathematics. Let us single out a few of them which are particularly relevant for this proposal, most of them having their origins in the increased importance given to geometrical methods and ideas in the theory of (in particular discrete, countable) groups. K-theory of groups C*-algebras (proofs of the Novikov and Baum-Connes conjectures for large classes of groups)

Boundary theory (Shalom's extension of Margulis/Furstenberg boundary theory, Bartholdi-Virag-Kaimanovich, Nekrashevich, etc. constructions of non-elementary amenable groups) Rigidity (Mostow/Margulis/Zimmer's rigidity)

L2-cohomology and spectral geometry (Gaboriau's measurable definition of L2--Betti numbers, Lück/Sauer stability results on Novikov-Schubin invariants)

Random walks (Varopoulos proof of the Kesten conjecture and thestability of return probabilities)

Combinatorics and graph theory (construction of families of expanders with the help of representation theory) Cohomology of groups (examples of non finitely presented FP2 groups using CAT(0) geometry) Logic (resolution of the Tarski problem for free groups)

Each progress mentioned above comes with a body of new techniques and ideas and open a research direction. For example the concept of amenability, introduced by von Neumann in the 1920s, and the so-called property T, introduced by Kazhdan in 1967, reveal two complementary phenomena with very significant implications in different fields of mathematics. We give below a detailed description of some of these themes, in which the interrelations of the various themes cannot be made more visible. Behind all the various methods lies the geometric viewpoint, where the interaction between group, geometry and analysis is the key to progress.

K--theory of group C* algebras, random groups. Interactions with these areas have always been present since the birth of the subject, because von Neumann algebras were introduced to understand group representations, ergodic theory and single operator theory. Following the

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complete classification by Connes and Haagerup of amenable von Neumann algebras in the early 1970's, via the methods of non-commutative ergodic theory, the subject took a new direction towards applications in geometry. At about the same time the ideas behind Atiyah-Singer theorem had already led to the development of K-theory and K-homology that was put in its final definitive form by Kasparov. This framework for non-commutative algebraic topology completely revolutionized the subject of C$^*$ algebras. A major part of the subsequent theory has been devoted to proofs of the Novikov conjecture and the stronger Baum-Connes conjecture for increasingly larger classes of discrete groups. (Roughly speaking the Baum-Connes conjecture describes the K--theory of the group C* algebra geometrically through the index of Dirac operators.) Gromov's ideas for studying geometric group theory in terms of metric spaces have been extremely important in this development. In addition his random groups might well provide counterexamples to some of these conjectures. The most recent progress by Kasparov and Yu, that subsumes previous work with Higson and Skandalis, shows that the Baum-Connes conjecture holds for all discrete groups with a proper isometric action in a uniformly convex Banach space (such as Lp). There are other natural properties of groups that can be used in proving the Baum-Connes conjecture, for example groups that act on CAT(0) spaces or, as V. Lafforgue has shown, groups with non-positive curvature whose word length has rapid decay. These classes are actively studied in geometric group theory: for example do uniform lattices have rapid decay?

The development of von Neumann algebras “beyond the amenable” has concentrated on algebras arising from discrete groups and their ergodic actions. von Neumann had shown that all locally finite groups (with infinite conjugacy classes) have isomorphic von Neumann algebras and Connes extended this to amenable groups. Here the fundamental rigidity question was raised by von Neumann and Connes: can the group algebra of a non--amenable groupremember the group? von Neumann asked this specifically for free groups and Voiculescu's work on free probability theory and random matrices has almost answered this question positively. One consequence is that the group algebras cannot besplit as a tensor product.

Measurable equivalence relations, L2 cohomology and rigidity properties of nonamenable groups. For more general non-amenable groups, there has been great progress in this area in the last 6 or 7 years, notably by Popa and Ozawa. For example Ozawa has shown that the von Neumann algebras of Gromov hyperbolic groups cannot be split as tensor products. Most surprisingly this research has been paralleled by closely related work in geometric group theory by Gaboriau, Lueck, Furman, Monod and Shalom. Again an important inspiration for part of this work came from Atiyah's index theorem for discrete groups and their L2Betti numbers: Gaboriau extended Gromov and Cheeger's combinatorial definition of the L2 Betti numbers to “measurable equivalence relations”. It is an open question whether these depend only on the associated von Neumann algebra. In the common theory groups having property T of Kazhdan and Margulis play an important role (their trivial representation is isolated in the dual). For lattices this is checked by using the representation theory of Lie groups but Gromov and Zuk have recently given local criteria to check property T. Popa's operator algebra techniques give new super-rigidity results in ergodic theory: for example the Bernoulli shift actions of a property T groups is orbit equivalent to another free ergodic action only if the groups are isomorphic and the actions equivalent. In other words the von Neumann algebra remembers the group and its action. There are a host of rigidity results of Furman, Monod and Shalom which form part of what Shalom has called ``measurable group theory'': how much about a group is remembered by the orbit equivalence relation of an ergodic action? This theory is of mutual interest to operator algebraists and geometric group theorists, as well as descriptive set theorists such as Hjorth and Kechris. Indeed measurable group theory has been called the younger brother of geometric group theory.

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Elliptic cohomology and Connes fusion: After Connes' classification of amenable von Neumann algebras, Vaughan Jones' theory of inclusions started a new era in the 1980's. At the time these gave rise to braid group representations and invariants of links and three manifolds. These braid group representations have been used recently in quantum computing by Freedman and his collaborators. Since a large part of the classification programme has been completed, it is not surprising that part of the Jones theory has now been proposed as a tool in geometry. Here the challenge is to understand elliptic cohomology as an index theorem for a supposed Dirac operator on loop space. Teichner and Stolz have proposed an approach to this problem using von Neumann algebras: the outer automorphism group of a von Neumann algebra has so far been successfully used to explain spin structure. Connes fusion of correspondences (or bimodules) might provide another key ingredient, in view of its usefulness for loop groups in the work of Jones and Wassermann. Many algebraic topologists, including Hopkins and Segal, are actively involved in this approach. Indeed most recently Kasparov and Yu have started a project to construct at least the K-homology of the Dirac operator.

The introduction of geometric objects such as Culler and Vogtman's Outer Space, following analogies with Teichmüller space, has led to great advances in the understanding of the automorphism groups of free groups. Much of this study uses the compactification of this space (following Thurston's compactification) and the natural study of the boundary. As in the case of the Gromov boundary of a hyperbolic group, analytic considerations then come into play via ergodic theory, dynamical systems and quasi--conformal structures that are definable on this boundary.

Our project is to bring together world experts and young researchers in these different fields, in order to encourage the exchanges that have begun between these areas. The concentrations planned will give the opportunity for the experts in one of the areas to be exposed to the methods and results from the others, and for all to learn the required techniques, and to then work together, experts and young researchers, in this dynamic fruitful area of interchange. The timetable for the planned events is : event 1 : January 2007 Geometric linearization of graphs and groups, conference, Lausanne [EPFL] event 2 : February 2007 Geometric group theory four week training course, CIRM, Marseille [CNRS] event 3 : June 2007 Amenability, two week training course, Vienna [ESI]. event 4 : January 2008, Expanders, one week training course, Jerusalem [HUJI] event 5: June 2008, Non--positive curvature and the elementary theory of free groups, one week training course, Anogia Academic Village Crete [NKUA]. event 6 : Spring 2009, Interactions between operator algebras, groups and geometry, one week training course, CIRM, Marseille [CNRS] event 7 : Summer 2009, Boundaries, one week training course, Graz [TUG] The different events have different themes, but the continuity is of course guaranteed by the interactions between the various themes, and the fact that there will be a large common audience for all events. While each can be seen as self--contained, the relations between them are described below.

Event 1 The main theme of the first event is Embeddings of metric spaces into Banach spaces, especially into lp-spaces (the case p=2 naturally playing a quite important role). The underlying idea is to try to approximate a possibly oddly behaved metric by a very good one ( lp or

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euclidean). This idea is applied e.g. in classification theory, a part of learning theory (learning being viewed as the ability of classifying things): one wants to define classes in a metric space by putting together points that are reasonably close. It is also useful in bio-informatics, e.g. to chart the space of proteins (viewed as long words on the 20 amino acids), allowing for clustering by similarity. Event 2 This consists of four inter-related one week training courses on Geometric group theory. This will take the form of a four week residential session in the CIRM in Marseille, where interaction between the field leaders and young researchers is where the themes to be covered in are:

First week: “Interactions between group theory and random structures” : random walks on finite and infinite groups, random groups and random graphs, Poisson boundaries, geometry of percolation clusters.

Second week: “Outer space, Out(Fn), Teichmüller space, boundaries” : Automorphisms of free groups, real trees, and the geometric object known as Outer Space. Third week : “Geometric group theory and relations with low dimensional topology” : Artin, braid, Coxeter and CAT(0) groups, knots and three manifold groups. Fourth week : “Hyperbolic groups, decision problems and group-based cryptography”:

Part of the aim of this training course is to lay some of the foundations of various aspect of the basic geometric group theory of the project. The relations between the ergodic and dynamical aspects of boundaries of groups will for instance in underlined during the first two weeks, while the relations between the geometric and the algorithmic will be underlined in the last two weeks. Event 3 Amenability consists of a one week training course followed by a one week conference.The classical notion of an amenable group has been generalized in many directions and currently plays an important (and sometimes crucial) role in many areas, such as dynamical systems, von Neumann and C*-algebras, operator K-theory, geometric group theory, rigidity theory, random walks, etc.

The proposed workshop will be part of a 5 month program on analytic, algebraic, dynamical and probabilistic aspects of amenability at the Erwin Schroedinger Institute in Vienna which will focus (among other things) on a wide range of aspects of amenability, L2 cohomology; the Baum--Connes and Novikov conjectures; bounded cohomology; quasi-isometric classification of amenable groups, in particular, of nilpotent and solvable ones; A-T-menabilty (property of Haagerup); groups without free subgroups; super-amenability; quantitative invariants of amenable groups: growth, isoperimetry, asymptotic entropy of random walks; dynamical properties and entropy formulae, etc. Also during this special semester there will be a course given by V. Kaimanovich. Event 4 Expanders concentrates on the new and important connections that have emerged between discrete subgroups of Lie groups, automorphic forms and arithmetic on the one hand, and questions in discrete mathematics, combinatorics, and graph theory on the other. One of the first examples of this interaction was the explicit construction of expanders (regular graphs with a high degree of connectedness) via Kazhdan's property T or via Selberg's theorem (1>3/16).

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Event 5 Non--positive curvature ... This is a one week training course, to develop the connections with logic, in particular Sela's work on Tarski's problems on the elementary theory of free groups. The solution used methods coming from low dimensional topology and geometric group theory. In the process a powerful theory of algebraic geometry over groups was developed and big progress was made towards the solution of long-standing open problems in the theory of equations over free groups.

This has opened a new vista of research asking for generalization of these results to the setting of hyperbolic, relatively hyperbolic and CAT(0) groups. The theory of hyperbolic groups was developed extensively over the past years and it is a subject of intense current investigation the generalization of this very fruitful theory to relatively hyperbolic and CAT(0) groups.

Event 6: The purpose of this event is to provide a training course and a forum for researchers in geometry, topology and probability theory to exchange ideas with operator algebraists. The main themes will be : K-theory of group C* algebras, random groups, free groups and probability theory, measurable equivalence relations, L2 cohomology and rigidity properties of nonamenable groups, elliptic cohomology and Connes fusion. The week will be composed of roughly seven mini-courses, given where possible by experts from geometry, topology or probability theory who have themselves had to learn from scratch the necessary material in operator algebras. There will also be a basic crash course on operator algebras giving the necessary background material on K-theory and von Neumann algebras, aimed at this particular cross--section of mathematicians: (1) Operator algebra basics, Vaes/Valette; (2) Random groups, Ollivier;(3) Baum--Connes conjecture, Higson/Yu;(4) Measurable equivalence relations, Gaboriau;(5) Rigidity theory, Monod/Shalom;(6) Free probability theory, Guionnet/Biane;(7) Elliptic cohomology, Stolz/Teichner.

Event 7 Boundary theory will include a principle component of two main lecturers giving mini-courses of a total of five 1 hour lectures each. This workshop takes up, at more than two years distance, one of the topics that are already present at the first Marseille workshop.Boundary theory plays an important role in Geometric Group Theory on one hand (e.g. in the context of ends of groups, hyperbolic groups, buildings), and it turns out that the boundaries appearing there are also very relevant in the study of the behaviour of Harmonic Analysis, Potential Theory and Random Processes on groups. One of the main purposes of the workshop is to provide good introductions to the subject that put the interplay between the different mentioned subjects into perspective under the viewpoint of the geometry “at infinity”.

Research training objectives: (based on section B2 of the proposal description) The areas of research described in the first paragraph have a large European flavour, due in large part to the foundational contributions of Gromov, Connes, Atiyah, and many others over the last 40 years. Many of the leading researchers in the USA are in fact European emigrants, and the level of expertise in this field is very high in Europe. It is important to reactivate and maintain this leadership via the training of new generations of researchers.

The training courses are all inter--related, and it is our aim to provide a forum where the acknowledged experts in these various areas can teach brightest young researchers the various aspects of these areas. At this moment these different areas are interacting in exciting new ways and young researchers should learn the tools necessary to take advantage of this confluence.

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The first two events are planned to build essential groundwork and lay out the state of the art in various directions: the first concentrates on the direction of embeddings in Banach spaces, and some applications in a bio-mathematical direction, while the second is larger enterprise, aimed at laying down the basics in the areas of random walks, automorphism groups, group theory and low-dimensional topology, and algorithmic and logical considerations. There will be several mini-courses aimed at bringing many of the community “up to speed” in these areas. The timing is planned to take advantage of a special semester Limits of graphs in group theory and computer science at the Bernoulli Research Center [EPFL] organised by G. Arzhantseva and A. Valette during the first half of 2007. The diverse nature of the subjects which form the core of the exciting new mathematical relationships being discovered means that a special effort has to be made to encourage communication between both experts and beginners. It is this communication that we wish to nurture. We intend that young researchers participating in this program attend as many events if at all possible, and in this way learn the (very different) aspects of the problems involved. Also this continued interaction will reinforce and develop scientific collaborations between researchers from close but distinct fields in mathematics, around the inter-relationships between geometric group theory, harmonic analysis, operator algebras, ergodic theory, amenability, and random walks.

Co--ordination of the meetings, built on a web of relations involving a hundred of international experts in group theory with experience in research and teaching, will provide continuity and offer to young researchers the possibility to go through the whole series of events. The best Ph.D. students of all involved organisers will attend the whole series of workshops, since this will offer them a unique possibility to complete the knowledge in their area of research, make their first appearances before an international audience, and establish many contacts with other young researchers. This appears as a very precious opportunity because it will bring the young researchers global vision of the field and direct contact (through mini-courses, question's sessions, and individual discussions) with the most outstanding experts. The mathematical standard of the proposed lecturers is uniformly high, with four Fields medallists, 20 ICM speakers, including 8 plenary speakers. Our experience is that bright young researchers are very interested in attending international meetings already at the early stages of their Ph.D. studies but quite often reimbursement of expenses are not planned for them. As a result, going through an international series of events is usually impossible for them.

Management: (based on section B4 of the proposal description)

Organisational Management (based on section B4.1 of the proposal description)

A steering committee, consisting of the participants, i.e. H, Short, G. Arjantseva, W. Woess, K. Schmidt, A. Lubotsky, P. Papasoglu, together with: Anna Erscheler (Paris), Alain Valette (Neuchâtel), Christophe Pittet (Marseille), S. Mozes (Jerusalem), Antony Wasserman (Marseille), C. Kourouniotis (Heraklion) will ensure the co-ordination of the several events.

Each of the centres has been chosen for its experience in the running of training courses and conferences in mathematics, and each has a tried and tested organisation which can easily cope with the logistical problems.

Organisational management of each event will principally rely on each centre's logistical expertise, and will otherwise follow the well-established habits of mathematical workshop organisation, with each local organiser working autonomously with his local team consisting typically of himself, some young collaborators local secretarial assistance.

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Additional aid will be provided as necessary by some advanced students whose help is paid for by short-term contracts.

The CNRS regional headquarters in Marseille, along with the administrative assistants of the LATP, will assure the principal administrative and financial work for the running of the project.

Financial management (based 1on section B4.4 of the proposal description)

We present here a breakdown of the events’ budgets. Readjustments may be proposed by the organisers of the individual events to be authorised by the steering committee (after discussion via email and telephone). In the last resort, the project coordinator’s decision is final. Each participant is responsible for the audit of his or her event(s), using the norms in place in that country, and the CNRS is responsible for the coordination of the final audits.Note that in the original proposal, only the proportion of funding requested from the EU was mentioned. This continues to be the case with regard to the events planning a publication: the cost of such a publication is too large to be included in its entirety, and only a contribution is proposed. Also as is traditional in the community, all speakers are counted as participants.

Breakdown event number 1, participant 2 (EPFL)Fees per participant : group 1 40€, groups 2 and 3: 65€Total amount of participation fees (approx) 2820Funded participants contribution to participation fees 1975

Proportion of fees from EU funds : 70%Travel for 15 main speakers 15000Stay of main speakers (75 person—days) 7500Conference material, conference transportation 1400Conference secretariat 800Publicity 150Publication 5800 Subtotal (rounded) 30650Proportion of funded participants 70% 21455TOTAL (Subtracting EU contribution to fees) 19480

Breakdown event number 2, participant 1 (CNRS)Fee per participant 50€ /weekTotal amount of participation fees (approx) 10000Funded participants contribution to participation fees 7000

Proportion of fees provided from EU funds : 70%Travel for 10 main speakers + 24 keynote speakers 35000Stay of main speakers (160 person—days) 16000Conference material, conference transportation 900Conference secretariat 2000Publicity 150Publication 400 Subtotal (rounded) 54450Proportion of funded participants 70% 38115TOTAL (Subtracting EU contribution to fees) 31115

Note that for this 4 week event it is expected that many participants will only be able to attend for part of the time, thus estimates are in perons/days. Breakdown event number 3, participant 6 (ESI)

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Fee per participant 50€Total amount of participation fees (approx) 2500Funded participants contribution to participation fees 1750

Proportion of fees provided from EU funds : 50%Travel for 6 main speakers + 6 keynote speakers 12000Stay of main speakers (144 person—days) 14400Conference material, conference transportation 900Conference secretariat 1200Publicity 150Publication 5000 Subtotal (rounded) 33650Proportion of funded participants 70% 23555TOTAL (Subtracting EU contribution to fees) 21805

Breakdown event number 4, participant 3 (HUJI)Fee per participant 50€Total amount of participation fees (approx) 2500Funded participants contribution to participation fees 1750

Proportion of fees provided from EU funds : 70%Travel for 6 main speakers + 6 keynote speakers 15000Stay of main speakers (60 person—days) 6000Conference material, conference transportation 900Conference secretariat 800Publicity 150Publication 400 Subtotal (rounded) 23250Proportion of funded participants 70% 16275TOTAL (Subtracting EU contribution to fees) 14525

Breakdown event number 5, participant 5 (NKUA)Fee per participant 50€Total amount of participation fees (approx) 2500Funded participants contribution to participation fees 1750

Proportion of fees provided from EU funds : 70%Travel for 6 main speakers + 6 keynote speakers 16000Stay of main speakers (60 person—days) 6000Conference material, conference transportation 900Conference secretariat 800Publicity 150Publication 400 Subtotal (rounded) 24250Proportion of funded participants 70% 16975TOTAL (Subtracting EU contribution to fees) 15225

Breakdown event number 6, participant 1 (CNRS)Fee per participant 50€Total amount of participation fees (approx) 2500Funded participants contribution to participation fees 1750

Proportion of fees provided from EU funds : 70%

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Travel for 7 main speakers + 8 keynote speakers 15000Stay of main speakers (75 person—days) 7500Conference material, conference transportation 900Conference secretariat 800Publicity 150Publication 400 Subtotal (rounded) 24750Proportion of funded participants approx 60% 17325TOTAL (Subtracting EU contribution to fees) 15575

Breakdown event number 7, participant 4 (TUG)Fee per participant 50€Total amount of participation fees (approx) 2500Funded participants contribution to participation fees 1750

Proportion of fees provided from EU funds : 70%Travel for 6 main speakers + 6 keynote speakers 11000Stay of main speakers (60 person—days) 6000Conference material, conference transportation 900Conference secretariat 800Publicity 150Publication 400 Subtotal (rounded) 19250Proportion of funded participants 70% 13475TOTAL (Subtracting EU contribution to fees) 11725

Publicity & Selection (based on section B4.2 of the proposal description)

As in all areas of scientific research, almost all publicity will be via the world wide web, email, and announcements to members of the community at related events. Some publicity posters will also be circulated, but the principal effort will be made via the use of web pages and the mathematical grapevine. These pages will be mirrored, where possible, at all of the centres along with a local website detailing, but we can initially guarantee facilities at the LATP in Marseille, where the laboratory has sufficient technical staff. We shall maintain a project web site and a large mailing list of all possibly interested researchers world wide with the aim of attracting the largest possible audience.Selection: These events consist mainly of training courses, and it is our firm intention to encourage as many young European researchers as possible to participate in as many events of the series as possible. During the four months prior to the commencement of the project (i.e. Sept-Dec 2006) a selection committee, consisting of the steering committee together with Karen Vogtman (Cornell), Ewa Damek (Wroclaw), Laurent Saloff-Coste (Cornell) in consultation with the local organisers, shall establish a core list of eligible researchers in the three categories. In establishing this list, the committee will follow the spirit of the Code of Conduct for the Recruitment of Researchers, and will pay especial attention to excellence, international balance and gender issues. The call for candidates will be made over the internet, and decisions will be communally taken by the committee.The project will finance (as suggested by the referee) a total of 35 researchers for each event. These are divided in the ratio 12/20/3 between the categories 1/2/3. While it is excellent to finance early stage researchers, the main group we wish to involve is young more experienced researchers (i.e. with less than 10 years experience). The core list shall contain approximately 70 names. Selection will be principally based on academic criteria and priority in attribution of

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financial support will be given to those committing to attending as many events as possible. It is inevitable that there will be difficulties for some individuals to attend for instance all four weeks of the activities in February 2007, which is why we envisage a larger pool of names, and the possibility that there may be more than 35 individuals receiving support, though no more than 35 for each of the four weeks in this example. Thus where members of the “pool” of candidates are not free to take part in the event, the organisers of the event, after consultation with the selection committee, retain the right to attribute support to other eligible researchers.

Dissemination (based on section B4.3 of the proposal description)

Each mini--course and seminar will be recorded on a video recorder when available (e.g. CIRM), and the notes of the talk scanned. Where possible, lecturers notes will be scanned and made available on the web as soon as possible after the event (and before the event wherever possible!). The lecturer will be asked to provide a “clean” version of his/her notes for web distribution. An official note-taker will be appointed for each session, in the event that the speaker does not provide his or her own notes. The video and the scanned notes will then be publicly (and at no cost) available thereafter on the project website, almost as soon as the event has taken place. In this way the widest possible distribution of the event, especially of the mini--courses, is guaranteed. For the majority of the events, the organisers are not convinced of the utility in this day and age of published conference proceedings in expensive paper versions. The two conferences (participants 2 and 6) intend to publish proceedings.

PART C: CONTRACT DELIVERABLES (from A4b of the CPF forms)

Proposal Number 45987 Proposal Acronym

OVERALL INDICATIVE PROJECT DELIVERABLES

Participant N°

Number of events Number of event participants eligible for

funding

Total number of

event participants

Conferences Training Courses

Group 1

Group 2

Group 3

1 2 24 40 6 100

2 1 12 20 3 50

3 1 12 20 3 50

4 1 12 20 3 50

5 1 12 20 3 50

6 1 12 20 3 50

Total 1 6 84 140 21 350

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PART D: COMMUNITY CONTRIBUTION (from A5b of the CPF forms)

Proposal Number

45987 Proposal Acronym GROUPS

Eligible expenses for the activities carried out by the researchers Eligible expenses related to the activities of the host organisations  Transnational Mobility D E F G H I  

B C Career Participation Research/ Management Overheads Other types of Maximum EC

Travel Mobility Exploratory expenses of training/transfer and Audit   eligible contributionAllowance Allowance Allowance the eligible of knowledge Certification   expenses  

    researchers          Costs Costs Costs Costs Costs Costs Costs Costs  

(in euros) (in euros) (in euros) (in euros) (in euros) (in euros) (in euros) (in euros) (in euros)31602,78     5475,00 72400,00 18251,44   0,00 260734,8141975,17     3500,00 29750,00 7866,58   0,00 112379,7521622,65     3500,00 27300,00 6145,00   0,00 87785,65

0,00     0,00 0,00 0,00   0,00 0,0095200,60     12475,00 129450,00 32263,02   0,00 460900,21

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