1. Professor Jacques Patarin, University of Versailles, December 4-14, 2000. He gave a sequence of lectures for specialists concerning his recent results, including: “Efficient Algorithms for Solving Over-defined Systems of Multivariate Polynomial Equations”, “Unbalanced Oil and Vinegar Signature Schemes”, “Flash, a fast Multivariate Signature Algorithm”.
2. Prof. Peter Hegarty, Uni. Goeteborg, Sweden stayed at IMPAN-BC for 2 months, in April-June, 2000. He worked with J. Urbanowicz, R. Nessel, S. Spież and K. Alster. He gave a course on elliptic curves cryptography, see details in WPPR.

Prof. Peter Hegarty, April – June 2001. Prof. Hegarty gave a series of lectures on Elliptic Curve Cryptography.

Third half - year period

3. Prof. Jacques Patarin, France, 7-19 January, 2002.

• “(In Search of) Probabilistic P systems”, to appear in BioSystems,
• lecture ‘’On Three Classes of Automata-Lik P systems”, presented on International conference MolCoNet, Budapest, 26-29 November, 2002.

1. Prof. Jacques Patarin, Bull, France, January 2003 (two weeks).

such that h_n divides h_m whenever n divides m.This is the same recurrence relation satisfied by the division polynomials ψ_n of an elliptic curve, and in fact if P is an integer point on an elliptic curve E with integer coefficients, then the sequence h_n = ψ_n(P), n Z, is an EDS.

1. Mr. Rafał Nessel, and dr. Aleksander Wittlin attended IACR Eurocrypt 2001

Conference in Innsbruck, Austria, May 6-10 2001. http://ec2001.ocg.at/ (next Eurocrypt Conference will take place in Banach Center in 2003).

 

Third half - year period

2. Dr Aleksander Wittlin visited in December 2001 Cryptology Center at the

University of Bochum – Germany (host prof. dr Hans Dobbertin). The visit included seminar, discussions related to public key cryptography, and organization of future Europe cryptology research network within the VI Framework Programme of the European Community.

 

3. Dr Aleksander Wittlin attended conference "Eurocrypt 2002", in Amsterdam, April 27^th – May 2^nd, 2002.

The next Eurocrypt conference, in May 2003, will be organized in Warsaw. Together with prof. Jerzy Gawinecki (Military Technical Academy) dr A. Wittlin also participated on behalf of IMPAN-BC in organization meetings with IACR officials and with organizers of Eurocrypt 2002, concerning the Warsaw Eurocrypt conference.

Fourth half - year period

4. Dr Aleksander Wittlin attended “STORK Meeting”, Brugge, Belgium, 29

November, 2002. (STORK is a cryptology consortium).

During “STORK Meeting” the Institute of Mathematics formulated its views on priorities in the cryptology research for the forthcoming 4 years. In particular, it includes: fundamental research in foundations of cryptology, including various aspects of "difficult problems" underlying basic algorithms; studies of new tools to design and analyse stream ciphers; development of new, non-obtrusive reliable personal identification techniques; efforts for general improvement of crypto literacy of citizens, in particular among legislators and lawyers, proposal of European university CV in cryptology, and better understanding of challenges and difficulties concerning the introduction and dissemination of electronic signature , in particular in Central European countries.

5. Dr Petra Wolhmacher, from PKI (Public Key Infrastructure) Reg TP, Mainz, Germany, visited IMPAN-BC, Warsaw in 21 –24 September, 2002.

The visit of dr. P. Wohlmacher was related to recent introduction of electronic

signature law in Poland. Presented by dr Wohlmacher German perspective, based on six years experience in that field allowed us to better understand issues related to design, establishment, and operation of PKI, in particular problems of system security, and demands related to cryptographical aspects of electronic signatures.

Fifth half –year period

6. Prof. Maurice Mignotte, Pasteur Uni., Strasbourg, France, May 4-14, 2003

)

He collaborated with Professors A. Schinzel and J. Urbanowicz discussing

some computational aspects of Number Theory and gave a lecture:

“On the Diophantine equation

Abstract:

We first give a short survey of the results known on the "Nagell- Ljunggren" equation . Then we present a proof of a result of Bugeaud-Mignotte-Shorey-Roy, namely there is no non-trivial solution for which x is a square. This result was obtained independently by M. Bennett, with another proof, but we insist on the computational aspects of our proof.

7. Dr. Adam Obtulowicz, IMPAN-BC, participated in the conference Brainstorming Week on Membrane Computing, Universitat Rovira i Virgili, Tarragona (Spain), 05.02 - 11.02.2003. He delivered the lecture "Mathematical models of uncertainty with a regard to membrane systems" (60').

 

8. Adam Obtulowicz, IMPAN-BC, participated in the European Molecular Computing Consortium (EmCC) Spring meeting 2003, Abo Akademi and Turku Center for Computer Science, Turku (Finland), 15.05 - 17.05.2003. Lecture "Algebraic P systems" (30') was given by A. Obtulowicz and he presented at the General Assembly of EMCC the research group 'Mathematical aspects and applications of membrane computing' at IMPAN, associated to EMCC.

Workshop “Computational Number Theory and Cryptography in the Honour of the 60^th Birthday of Professor Hugh C. Williams”, held in Warsaw, May 12 – 14, 2003.

Organising Committee: W. Narkiewicz (Chairman), K. Alster, J. Browkin, M. Kula, K. Matusiewicz, A. Paszkiewicz, S. Spież, J. Urbanowicz

The workshop gathered 31 scientists: 15 from Poland and 16 from abroad (from 11 countries). The workshop was devoted to computational number theory and its applications to cryptography. 14 lectures were presented. The following problems were considered:

class fields; computations and constructions

computational aspects of diophantine equations

factoring polynomials and finite polynomial orbits

semigroup technique in number theory

exponential sums and estimates of pseudopowers

elliptic divisibility sequences

CM curves in cryptography

application of norm forms in cryptography

decisional number theoretical assumptions in cryptography

contributions of cryptography to number theory

3. Workshop "Cryptology - fundamentals and frontiers", Bedlewo, April 28 - May 3, 2003.

1. Preparation of Proceedings of Public Key Cryptography and Computational Number Theory Conference which was held in Warsaw in September 2000. Editors K. Alster, J. Urbanowicz, H. Williams, Walter de Gruyter, Berlin, New Jork, 2001.

 

2. Public lectures and open panel discussions to increase literacy level of various

• “Public Key Infrastructures”, December 7-8, 2000; the main lecturer professor Jacques Patarin.
• “Enigma and Science”, March 7, 2001; the lecturer dr Arkadiusz Orłowski.
• “Around the Electronic Signature Act”, March 22-23, 2001; the main lecturer professor Mirosław Kutyłowski.
• “Security Policy for Companies”, March 28-29, 2001; the main lecturer dr. Janusz Cendrowski.

1. Prof. dr Jerzy Browkin (Warsaw University) and dr Aleksander Wittlin run at

IMPAN-BC the weekly Warsaw Cryptology Seminar. Between November 2001 and May 2002 seventeen talks have been presented by speakers from Polish and foreign research institutions. The talks covered broad range of topics including general cryptography, number theory, combinatorics and electronic commerce. (The whole list with abstracts is published here.

Fourth half - year period

2. Friday seminars, (J. Browkin, A. Wittlin)  15-40 participants.

One day tutorial course "Electronic economy, possibilities and challenges", September 23, 2002, Warsaw (speakers J. Sojka (Poznan), W. Chocianowicz (Szczecin), J. Przetocki (Lublin), P. Wohlmacher (Mainz)).

Fifth half –year period

3. Eurocrypt 2003. The Institute co-organized the Eurocrypt 2003 conference in Warsaw (May 5-9) 2003. The conference was attended by approx. 400 participants from all over the world.
4. ECRYPT - The Institute's Cryptology Group was accepted as a member of ECRYPT consortium, an Europe-wide research in cryptology network project coordinated by K.U. Leuven (prof. B. Preneel), submitted to the Information Society Technologies Priority of the EU VI Framework Programme, Call FP6-2002-IST-1. The project hearing was held on June 11, 2003, evaluation result (June 24, 2003): 4.9 (24.5/25).

e) Jon Aaronson, University of Tel-Aviv, Israel, February 17^th -March 2^nd, 2002.

7. Dr Marian Grendar, from Slovak Academy of Sciences, Slovakia, visited

MPAN- BC in 10 July – 9 August, 2002.

This was a continuation of his previous visits, to work with the Probability and Statistics people.

Fifth half –year period

8. Prof. Joerg Schmeling, Uni. Lund, Sweden, April 11- May 11, 2003.

He worked with mathematicians from the dynamical systems groups at IMPAN, Warsaw University and Warsaw University of Technology on geometric measure

theory in relation with solenoidal fractals.

He gave a 4-hour mini-course

"Dimension Theory in Dynamical Systems".

Abstract:

The dimension of invariant sets or invariant measures plays an important role in dynamcal system theory. It is an essential invariant that encodes geometric and

complexity information. It is closely related to other characteristics like Lyapunov exponents or entropy. In this series of lectures we will give an introduction

to the dimension theory of dynamical systems. First we will explore the theory of hyperbolic systems. We will start with the theory of low-dimensional systems and

then develop the general theory in higher dimensions. In particular we will discuss the existence of pointwise dimensions for hyperbolic measures. While the dimension theory is better understood for hyperbolic systems this theory is almost undeveloped

for systems of low complexity. We will emphazise on the different theory for zero entropy systems and show the connection to number theory on some examples.

Finally we will introduce to the theory of multifractal formalisms. This theory gives a deep insight to fine aspects of dimension theory in low dimensions. In particular it helps to understand some classical problems from number theory. If there is some time left we will also discuss some non-standard multifractal scalings which ave implications to function theory.

9. M. Sc. Steffi Burmeister, Uni. Goettingen, Germany.

1. Prof. Flemming Topsoe, University of Copenhagen, Denmark, visited IMPAN-BC,

1. Dr. Peter Harremoës, University of Copenhagen, Denmark, visited IMPAN-BC,

Warsaw in Jan 25 –28, 2001. See Prof. Flemming Topsoe.

 

 

 

Fourth half – year period

2. Karoly Simon, from Techn. University, Budapest, Hungary, visited IMPAN-BC, Warsaw in 8-15 August, 2002.

He worked on solenoids together with dr Michal Rams, on the possible applications and generalisations of their joint paper on this subject, concerning fractal dimensions.

Fifth half –year period

3. Prof. Michel Zinsmeister, Uni. Orleans, France, visited IMPAN-BC for 3 days 7-9 March, 2003. He took part in preparation of the Conformal Structures and Dynamics (CODY) RTN FP6 proposal, had fruitful scientific discussions with dynamical systems people in Warsaw and gave a lecture:

"Stochastic and deterministic growth models".

He presented a survey on the growth models introduced by the physicists: stochastic ones: Eden model, DLA (diffusion-limited aggregation), DBM (dielectric breakdown model) and the deterministic ones like Hele-Shaw flows. He also showed how Loewner differential equation allowed to unify them.

4. Prof. Feliks Przytycki, IMPAN-BC, (coordinator of the Centre) and K. Nowinski (in charge of the Package 8) participated in the IST, DG Information Society, Unit F2,

workshop in Brussels, 29-30 January 2003, "Grids for complex problem solving".

F. Przytycki at one of the thematic sessions presented the IMPAN-BC Centre of Excellence. Several informal discussions related to the possibilities to participate in the FP6 took place, in particular with a representative of the Heidelberg University Centre.

For more details on the meeting see www.cordis.lu/ist/events/29-01-2003.htm

 

5. Prof. Genadi Levin, Hebrew Uni, Jerusalem, Israel, visited IMPAN-BC on 13-19 April, 2003.

http://www.math.ku.dk/IT-Banach2001/may.html

http://www.mdpi.org/entropy/htm/e3020064.htm

The program : http://www.icm.edu.pl/infodays.html

The program: http://www.ifpan.edu.pl/~orlow/celdis/Workshop.html

3. "Holomorphic Iteration, Non-uniform Hyperbolicity", 22-25 May, 2002 (in cooperation with the European Science Fundation). 64 mathematicians took part, including 45 from outside of Poland. Several PhD students participated. Talks were provided by outstanding specialist, including three lectures course "Non-uniformly hyperbolic horseshoes" by Fields medallist J. -C.Yoccoz.

Fifth half –year period

4. The meeting of the research group on "Characterizations and Bounds for Ordered Statistical Data" held in Banach Center in Warsaw on May 12-17, 2003. This concerns also package 5.

1. Prof. Ovide Arino, from University de Pau, France, visited IMPAN-BC, Silesian branch, in 20 November – 20 December, 2002.

He worked together with the team of prof. R. Rudnicki. A preliminary version of the paper O. Arino and R. Rudnicki "Stability of phytoplankton dynamics" has been prepared.

O. Arino gave a lecture at the meeting of the Institute of Mathematics at the

Silesian University: "A mathematical derivation of size spectra in fish populations".

2. Dr M. Molina Becerra, from University Sevilla, Spain, visited IMPAB-BC in 20 November– 19 December, 2002.

Stay in Silesian branch of IM PAN and in Silesian University in Katowice.

Scientific cooperation with the team of prof. R. Rudnicki and with prof. O. Arino.

Under the direction of O. Arino and R. Rudnicki, she studied structured population models. She worked on generalization of M.C. Mackey and R. Rudnicki theorem on stability of partial differential equations with retarded space argument and

delay time argument.

Fifth half –year period

3. Dr. Mostafa Bachar, Uni. Graz, Austria, April 24 – May 24, 2003.

1. Prof. Ryszard Rudnicki, Torino, Italy, 25^th February -3^rd March, 2002.

Scientific collaboration with Prof. Hisao Fujita Yashima.

During the visit he has prepared a preliminary version of the paper "Long-time behaviour of a prey-predator model". He gave a lecture on the "Seminari di analisi matematics" on the subject "Markov semigroups and their applications", 26^th February, Department of Math. Univ.Torino.

He also gave a series of "working lectures” connected with the above publication.

Another aim of the visit has been to prepare a conference at IMPAN-BC in June.

Fifth half –year period

2. Prof. Michael Mackey, Mc Gill Uni., Montreal, Canada, May 17- 30, 2003. Stay in Katowice Branch of IM PAS and in Silesian University in Katowice.

Scientific cooperation with the team of prof. R. Rudnicki and with prof. A. Lasota.

During his visit M.C. Mackey discussed the questions connected with dynamic behaviour in mathematical models of the tryptophon and lactose operons. The general theory of operon postulates that all genes are controlled by means of operons subject to a single regulatory mechanism known as repression. There are several models of operons: starting from the system of three ordinary differential equations to the system of five differential equations with delay. The most important question of global stability for this model were discussed.

Lecture on the meeting of the Institute of Mathematics Silesian University:

"Modelling molecular central systems: two examples and open problems".

3. Prof. Ryszard Rudnicki, IMPAN-BC, visited France, UR GEODES, Institut de Recherche pour le Dèveloppement (IRD), Bondy, February 2 – 23, 2003.

a) “School in Population Dynamics”, 17 –21 June, 2002, in IMPAN-BC, Będlewo.

1. Prof. Michail Zhitomirski, Uni. Technion, Haifa, Israel, January 14- February 3,

1. Prof. W. Respondek, INSA-Rouen, France, visited the Banach Center in April 2003 (1 month). He collaborated with Prof. B. Jakubczyk on bifurcations of control systems. The result of this collaboration is the paper: "Bifurcations and phase portraits of control-affine systems in the plane" (41 pages) which was submitted for publication.

1. School on “Mathematical Control Theory”, Bedlewo, 2-13 September, 2002.

1. Nguen Pham, Uni. Paris 7, France, on his 2 two-weeks visits in June and October 2001 delivered a series of lectures (10 hours) on pricing and construction of portfolio with constraints.

Third half – year period

2. Prof. Z. Brzezniak, University of Hull, U. K., two 2 weeks visits in March and in May 2002. Prof. Brzezniak collaborated with prof. J. Zabczyk and Sz. Peszat on various aspects of stochastic analysis and stochastic partial differential equations with possible applications in finance;
3. Prof. M. Jeanblanc, University d'Evry, France, one 2 weeks visit in May 2002 (the second 2 weeks visit is planned in the Fall 2002). Prof. M. Jeanblanc collaborated with prof. M. Rutkowski and L. Stettner on modelling of defaultable risk, and portfolios with random termination;

1. Prof. Roger Tribe, from University of Warwick, England, visited IMPAN-BC in 19 August – 2 September, 2002, (shall continue in 2003), he worked with prof. J. Zabczyk on infinite particle systems.
2. Prof. Remi Leandre, from Nancy University 1, France, visited IMPAN-BC in 28 May – 27 June, 2002, worked with prof. J.Zabczyk on stochastic systems on manifolds with applications to physics, prepared during his stay at IMPAN preprint “Hypoelliptic diffusions and cyclic cohomology”.

He presented a talk on cohomology and hypoelliptic diffusions, presented a lecture on asymptotic behaviour of infinite particle systems on the Seminar at IMPAN.

3. Dr Miklos Rasonyi, form CAI, Hungarian Academy of Sciences, Hungary, in 10 October – 9 December, 2002, visited prof. L. Stettner, working in mathematics of finance. He presented a series of lectures on arbitrage of large financial matters. He worked with L. Stettner on utility maximization under general conditions.

Each visitor had a lecture or a series of lectures on the seminars held at IMPAN. Some results of the cooperation between M. Rasonyi and L. Stettner perhaps will be prepared in the form of a publication.

 

 

Fifth half –year period

4. Prof. Giovanni di Masi, Uni. Padova, Italy, 1. April 2003 (one month), prof. G. Di

Masi from Dipartimento di Matematica Pura ed Applicata Universita Degli Studi di Padova - visit in the category of senior professors; Prof. Di Masi collaborated with prof. L. Stettner on the problem of invariant measures for filtering processes. As a result of the cooperation the following paper was written:

G. Di Masi, L. Stettner, Ergodicity of Hidden Markov Models, preprint.

The paper contains necessary and sufficient conditions for the existence of invariant measures of filtering processes and attempts to fill (partially) the gap in the famous Kunita's papers from 1971.

 

5. Dr. Miklos Rasonyi, Computer and Automation Institute, Hungarian Academy of Sciences, Hungary, 2. April – May 2003 (two months) (earlier also November - December 2002), delivered a series of lectures on large financial markets and collaborated with prof. L. Stettner on maximization of a general utility function. The following paper has been written: M. Rasonyi, L. Stettner, On utility maximization in discrete - time market models, preprint.

1. Dr. Enrico Priola, Uni. Torino, Italy, Oct. 28 – Dec. 7, 2002.

He visited shortly Warsaw to cooperate with prof. J. Zabczyk and Sz. Peszat on various aspects of infinite dimensional stochastic analysis. He actively attended the seminar on stochastic processes organized regularly at IMPAN.


2. Prof. Lukasz Stettner, IMPAN-BC.

1. "The Workshop on Mathematics of Finance" was organized in Będlewo on

1. "Summer School on Mathematics of Finance" in Będlewo on July 2-10 th, 2001.

c) “Stochastic Control and Its Applications”, held in Bedlewo 2-8 June,

1. Pavel Shvartzman, Technion. Hajfa, Israel, talk "The Whitney extension problem

and Helly's Theorem".

2. Tomas Schlumprecht, University of Texas A&M, talk "On trees and Branches in

Banach spaces".

3. Paul Mueller, University of Linz, research joint with A. Pelczynski, participation in

the functional analysis seminars.

 

Fourth half – year period

4. Prof. Aleksander Pelczynski, from IMPAN-BC, visited Germany in 17–27 November, 2002). He participated in an international meeting "8-th Wangerooge-Meeting on Functional Analysis" (Nov. 17 - Nov. 21) organized by Mathematical departament of the Oldenburg University with about 35 participants from Belgium, Germany, Poland, Spain and Switzerland. He delivered an one hour talk "On strict Dvoretzky Theorem". From Nov. 21 to Nov. 27 he was in Kiel where he was an invited speaker on a weakly colloquium of the Department of Mathematics of the Christian Albrecht University in Kiel. The topic of the colloquium talk: "On elliptic sections of convex bodies". Toogether with Professor Hermann Kőnig he worked on the project concerning complex zonotops and zonoids.
5. Prof. Evgenij Bereznoj, from University Jaroslaw, Russia, visited IMPAN-BC in 10-17 October, 2002.

Most time he worked with prof. Mastylo in the IMPAN-BC branch in Poznan. The topic was extrapolation of positive operators between function Banach spaces. The starting point was Schur test. Applied to integral operators in Lp weighted spaces, it led to an extrapolation theorem. Schur test was studied also for Hardy operators in Orlicz spaces. A joint paper is in preparation.

E. Bereznoj gave a lecture at Math Dept of Adam Mickiewicz University, on 5th October, entitled: "Subspaces of C(0,1) and Lip(0,1) consisting of non-smooth functions".

6. Prof. A. Montes Rodriguez, from University of Seville, Spain, visited IMPAN-BC in 1 –15 July, 2002.

He worked together with prof. J. Zemanek on various questions of operator theory, in particular, on hypercyclic and supercyclic operators. Some of the problems, concerning the Volterra operator, have been subsequently solved by prof. Alfonso Montes-Rodriguez and his former student dr. Eva Gallardo, and this work is accepted for publication in Integral Equations and Operator Theory, and was also presented at a conference in Luminy.

7. Prof. Zbigniew Ciesielski from IMPAN-BC, took part in “International Conference on Constructive Function Theory”, Varna, Bulgaria, in 19-23 June, 2002.

As a member of the Program Committee he took part in preparing the scientific part of the conference. This conference was the consecutive in the series of the well established of international conferences on Constructive Function Theory held in Bulgaria since 1970. It was dedicated to Blagovest Sendov on his seventies birth anniversary. On the occasion a volume Approximation Theory edited by B.D. Bojanov, DARBA, Sofia 2002 was published in this volume A. Kamont and Z. Ciesielski published “Survey on the orthogonal Franklin system”.

8. Anna Kamont, from IMPAN BC, participated in the “Fifth International Conference on Curves and Surfaces”, Staint-Malo, France, June 27 - July 3, 2002.

It was fifth in a series of conferences on Curves and Surfaces organized by Association Française d'Approximation since 1990. The topic of the conference was approximation theory and its applications. The conference included a series of mini-symposia. At the conference, she presented a talk "Greedy approximation and multivariate Haar system". The talk was a part of the mini-symposium on Nonlinear Approximation, organized by prof. V.N. Temlyakov from University of South Carolina.

Fifth half –year period

9. Prof. Sergei Konyagin, Moscow State Uni., Russia. He attended the Workshop “Computational Number Theory and Cryptography...” he gave also a lecture at the Functional Analysis Seminar "About exponential sums on groups"
10. Prof. Dirk Werner, Freie Universitaet Berlin, visited IMPAN-BC in March 3-7, 2003.

1. "Operator Theory and its Applications in Mathematical Physics", 11-18 May, 2002, Bedlewo. 50 participants, in particular from: Austria, Belgium, Czech Republic, Finland, Greece, Spain, Romania, Sweden, Ukraine, Ireland, Germany, New Zealand, Mexico, Russia, USA.

The conference topics: singular perturbations, random Schrödinger operators, spectral theory of Jacobi operators.

2. Workshop "Approximation Theory", Warsaw, 25-28 January, 2002. 22 participants.

Fourth half – year period

3. Conference on Functional Analysis, Bedlewo, 22-29 September, 2002.

83 mathematicians participated.

Fifth half –year period

 

4. Conference on Topological Algebras, their Applications, and Related Topics. Bedlewo, 11--17 May, 2003.

Organized jointly by IMPAN-BC and the Faculty of Mathematics

and Computer Science, Adam Mickiewicz University, Poznan.

Organizing Committee:

H. Garth Dales (University of Leeds, England) - the head of the Scientific

Committee,

Krzysztof Jarosz (Southern Illinois University at Edwardsville, USA), Andrzej Soltysiak (Adam Mickiewicz University, Poznan, Poland) -the local organizing committee.

61 scholars from 21 countries participated.

The number of lectures was 57; 14 of them were 40 minutes long, 30 - 30 minutes long, and 13 - 20 minutes long.

The talks were concerned with new results in general theory of Banach and topological algebras, spectral theory, functional calculi in Banach algebras,

operator theory on Hilbert and Banach spaces, C*-algebras and their generalizations, homologies of Banach algebras, Banach-Lie algebras and Lie algebras of operators, Choquet theory of integration, and topological dynamics. 70th birthday anniversary of one of the outstanding Polish mathematicians Professor Wieslaw Zelazko, working in the area of Banach and topological algebras was celebrated.

(Abstracts are available at IMPAN-BC).

5. “Spaces of Analytic and Smooth Functions”, 6 - 12 April, 2003,

(coordinator: Stanisław Janeczko).

1. Prof. Bronislaw Wajnryb, from Institute of Techn., Hajfa Israel, stay at IMPAN-BC

15/09/2002 - 27/02/2003,(15 September – 31October, 2002 – he was paid by EC). He was teaching a course on Braid groups, 11 lectures. Several faculty members and over 10 students participated in the course and some of them will take exam. He gave several invited lectures:

“Artin groups and geometric monodromy”, Colloquium talk for graduate students at IMPAN, Warsaw.

“Artin groups and geometric monodromy”, at the seminar of Professor Janeczko at Warsaw Polytechnic Institute.

“Approximation with multivariate polynomials”, Colloquium talk at Department of Mathematics of Gdansk University.

“Approximation with multivariate polynomials”, at the meeting of Polish Mathematical Society at IMPAN, Warsaw.

“Braid groups and its applications”, at the meeting of Scientific Society of Lodz.

He was also invited to give a Colloquium talk at Bayreuth University, Germany, on January 23, 2003.

He is also working on a research paper “Configuration space of generic sets of points in C²”.

Fifth half –year period

2. Prof. Joachim Rieger, Uni. Halle, Germany, April 23 – May 10, 2003.

1. Dr. Alain Joets gave a talk at the Seminar on Singularities Theory.

He collaborated with Polish mathematicians in:

- Bifurcations of symmetrical caustics - the creation - annihilation of two symmetric butterflies.

- Classification of Lagrangian singularities invariant through the mirror symmetry.

- On some generalization of Gauss-Bonnet formula for singular discriminant surfaces.

 

Fourth half – year period

2. Prof. Grigori Karlovich Giorgadze, from Georg. Academy of Scienc., Tbilisi, Georgia, visited IMPAN-BC, Warsaw in 1-12 June, 2002.

During his stay Prof. G. Giorgadze was working on the monodromy problems for Fuchsian differential equations. He gave several lectures on monodromy and Riemann-Hilbert boundary value problem and the relations of these topics with some analytical and topological aspects of the theory elliptic Carleman-Bers-Vekua systems discussed in some papers of Prof. B. Bojarski. As a result of this cooperation G. Giorgadze prepared the paper: “Lp – connections on holomorphic bundles over Riemann Surfaces”.

3. Prof. Stanislaw Janeczko, from IMPAN-BC, visited Max Planck Institute, Bonn,

Germany in 4 –29 August, 2002.

During his stay at MPI prof. Janeczko worked on symplectic geometry together

with M. Marcolli, S.Stolz, and others. He gave a talk at Hirzebruch-Manin-Zagier Oberseminar entitled "Symplectic invariants of curves and bifurcations". He prepared Preprint 2002/132 (jointly with Z. Jelonek) "Linear automorphisms to become symplectomorphism" and Preprint 2002/62 (jointly with Fukuda) "Smooth integrability of differential systems" about generic (in the sense of Tougeron) properties of implicit systems to be smoothly integrable. This was applied to Hamiltonian systems of Dirac type. The visit was an element of our cooperation with MPI at Bonn continued later in November within the "Manifolds in Mathematics" symposium at IMPAN-BC in Warsaw.

Fifth half –year period

4. Prof. Takuo Fukuda, Department of Mathematics, College of Humanities and

Sciences, Tokyo, Japan, visited IMPAN-BC in Dec 28, 2002 – Jan 7, 2003.

He worked, jointly with Prof. S. Janeczko on the paper "Integrability criteria for implicit differential systems" (submitted to Banach Center Publications) and "Classification of Dirac singularities for generalized Hamiltonian systems" (in preparation).

5. Prof. Stanislaw Janeczko, IMPAN-BC, attended the meeting of ERCOM in

Vienna on March 15 and 16th, 2003. See In package 5 Prof. Lukasz Stettner.

6. Prof. Stanislaw Janeczko, IMPAN-BC, participated in the Conference on occasion of 50 Anniversary of Czech Academy of Sciences in Prague, Czech, December 11- 13, 2003.

(coordinated by ICM http://www.icm.edu.pl)

1. Prof. Gerhard Dziuk, Institute of Applied Mathematics, University of Freiburg, Germany, was a guest of the IMPAN-BC Centre of Excellence from 19 February 2001 to 2 March 2001.

Prof. Dziuk presented a series of lectures devoted to “Computational Methods for Geometric Differential Equations”

The audience included University staff, research institutes staff, Ph.D. students and graduate students of various affiliations.

It is envisaged that Prof. Dziuk’s visit will result in further co-operation related to the software for scientific computations and applications Albert. Albert (Adaptive multiLevel finite element toolbox using Bisectioning refinement and Error control by Residual Techniques) was developed in the Institute of Applied Mathematics, University of Freiburg.

 

2. Prof. Alain Bossavit, Electricité de France, R&D Division, Clamart, France was a guest of the IMPAN-BC Centre of Excellence from: 17 April 2001 to 27 April 2001. He presented a series of lectures entitled "From cell complexes to 'mixed' and mixed-hybrid' numerical schemes"..

Three classes of model problems were used in order to provide illustrations (1) Electrodynamics, (2) Underground water dynamics, (3) Molecular dynamics. The course was addressed not only to mathematicians but code-developers and users of numerical methods of 'finite element' and/or 'finite volume' flavour as well.

A very important aspect of Prof. Bossavit visit was related to the co-operation between ICM and Netherlands Institute of Applied Geoscience TNO. From the mathematical point of view, the current objective of this co-operation is to implement edge-based elements, to compare with the algebraically equivalent face-based elements, and to compare with the node-based elements. As Prof. Bossavit is an expert in this field, his stay in Warsaw was an excellent opportunity for many inspiring discussions. First results of these discussions have already been summarised and became a section of a recently submitted paper. A support of the Banach Centre of Excellence was gratefully acknowledged.

(W.Zijl, A.Trykozko, Numerical Homogenization Based on Complementary Finite Elements Applied to Nonlinear Flow in Porous Media and Viscous Layers. Submitted to Computational Geosciences – a journal published by Baltzer Science Publishers)

It should be emphasised that this way a transfer of methods developed in the frames of computational electromagnetism to the field of flow-related processes occurred.

Second half –year period

3. Prof. Alain Bossavit, Nov 25, 2001 – Dec 10, 2001. The aim of the visit was to create a written version of the lectures entitled "From cell complexes to 'mixed' and mixed-hybrid' numerical schemes" and to make them available to a wider audience via the internet.

Address: http://www.icm.edu.pl/new_icm/edukacja/mat.html.

d) Dr. Robert Cunderlik, Slovak University of Technology, Bratislava, Slovakia, PhD

f) Prof. A. Bossavit, from EDF, France, visited IMPAN-BC in 1-30 November, 2002.

1. Dr. Anna Trykozko, ICM, Warsaw University, visited TNO Institute of Applied

Geosciences- National Geological Survey, Utrecht, The Netherlands, from 18 November 2001 to 25 November 2001.

Inviting person: Dr. Wouter Zijl.

 

2. Dr. Krzysztof S. Nowiński, Birmingham AVS Users Group Conference and a

visit to the Manchester Computing Centre/ Manchester Visualisation Centre (December 5-10, 2001).

Third half – year period

3. Prof. Marek Niezgodka visited University of Heidelberg, 2-5 May, 2002.

The main aim of his trip was to attend the meeting "Mathematical Methods for Modelling in Biology". Prof. Willi Jager (IWR), Marcus Kirkilionis (IWR and Warwick), Vincenze Capasso (MIRIAM Milan) and others participated in the meeting.

4. Dr Anna Trykozko, ICM, Warsaw University, visited Electricite de France (EdF), R&D Division, Clamart, France, 10 -17 Dec, 2001.

Inviting person: Prof. Alain Bossavit.

The stay in EdF resulted in several ideas of exploiting further analogies between the problems in computational electromagnetism to the field of the groundwater flow arising in these two fields of applications.

5. Sönke Senff, Freie Universität Berlin, Germany, 16 January, 2002.

He is a graduate student of Prof. R.Kornhuber. He is cooperating with Maria Gokieli from ICM, A. Wittlin from IMPAN-BC and L. Marcinkowski from Warsaw Univ. on the project consisting in numerical implementation of the scheme presented in Discrete approximation of the Cahn-Hilliard/ Allen-Cahn model with logarithmical entropy (submitted to Japan Journal of Applied and Industrial Mathematics).

6. Dr Marcus Elstner, University of Paderborn, Germany. Seminar "New Developments for Quantum Mechanical Simulations of Structure and Dynamics of Molecular and Biomolecular Systems".
7. Prof. Frederrique Simondon, Uniwersited de Franche-Comt, Besamson, France, 19^th December, 2001.

Lecture "Convergence or divergence in time for solutions of parabolic equations".

Fourth half – year period

8. Prof. Wojciech Zajaczkowski, from IMPAN-BC, participated “French–Czech Conference in Fluid Mechanics”, Prague, in 6-11 July, 2002.

He delivered a talk “Global special regular solutions to Navier – Stokes equations in axially symmetric domains”.

9. Prof. Wojciech Zajaczkowski, IMPAN-BC, participated in the international conference “Navier-Stokes Equations” in St. Petersburg, 11-18 September, 2002. He delivered there a talk “On stability of axially symmetric solutions for the Navier –Stokes equations.

He worked together with:

Prof. G. Seregin, St. Petersburg,

Prof. D. Krőner, University of Freiburg,

Prof. P. Penel, Toulon University.

10. Dr Franziska Matthaeus, from IMPAN-BC, participated in the Conference

1. A conference Summer school on Parallel Computing in Biomolecular Simulations in Gdańsk Sep. 1- Sep. 3, 2001, organized (and cofinanced with Polish means accompanying CE IMPAN-BC), took place.

 

 

Third half year period

2. "Biology vs. Mathematics: Mutual Challenges", Bedlewo, 24 - 26 Feb, 2002. 33 participants, in particular from: Milan, Madrid, Heidelberg, Freiburg, Leipzig, Bratislava, Duisburg, Besancon, Brighton.
3. "18^th European Workshop Computational Geometry" 10-12 April, 2002. About

• May, 2002. 25 participants, in particular from: Duisburg, Innsbruck, Heidelberg, Freiburg, Bonn, Bratislava, Lubeck, Duisburg, Leipzig, Erlangen.

 

Fourth half – year period

e) Workshop “Navier-Stokes motion in complex domains”, Warsaw, 28 September –1 October, 2002.

see: http://www.icm.edu.pl/wydarzenia/konferencje/navier_stokes.php

Organizer: Prof. Wojciech Zajączkowski.

The aim of the workshop was to discuss a relation between theoretical questions concerning regularity and applications which could be described by the Navier-Stokes equations. The main topics were: regularity results for Navier-Stokes equations, applications of Navier-Stokes equation for solving some industry-originating problems, motion in pipes or complex sets of pipes, non-Newtonian fluids. Approximately 20 participants from several countries attended the workshop.

1. 2^nd Fall Workshop “Complex Processes: Modelling, Simulation and Optimisation”,

Będlewo near Poznań, 18-20 October 2002.

see: http://www.icm.edu.pl/2fall

Organizer: Prof. Marek Niezgódka.

The 2^nd Fall Workshop was intended to update status information on the projects

conducted by college fellows and to provide new stimuli on most up-to-date challenges in modelling of real-world complex systems. Its underlying role was to foster bridging across scientific disciplines, from mathematics to technology. The contributions have been divided into sessions on:

• modelling within microscopic scale

• modelling within macroscopic scale
• modelling on mesoscale
• modelling on macroscopic scale
• optimisation

Almost 40 participants from Poland and Germany attended the workshop.

Fifth half –year period

 

1. Workshop “Probabilistic Problems in Atmospheric and Water Sciences”, Będlewo near Poznań, 16-18 December 2002.

http://www.icm.edu.pl/dzialalnosc_n/excellence/probabilistic.php

Organizers: Prof. Krzysztof Haman, Prof. Jerzy Zabczyk, Dr. Bogumił Jakubiak

The aim of the meeting was to create an opportunity to improve understanding of the role played by probabilistic methods in solving problems that originate from the areas such as atmospheric analysis and forecasting, water management, hydraulic forecasting, ocean and climate models. It was the intention of the organizers to invite mathematicians working in the area of stochastic processes and statistics as well as researchers dealing with different problems related to geosciences. This gave an opportunity for formulating the most urgent problems of geosciences on one side and to present the tools offered by the modern probabilistic methods, on the other.

The meeting was divided into two parts. The first part consisted of several lectures giving an extended introduction to statistical methods and approaches (Probabilistic problems in atmospheric sciences, Probabilistic approach to water management, Introduction to statistics, Introduction to stochastic processes, On the mathematical understanding of stochastic resonance). The second part of the meeting was devoted to more specialized talks and reports from ongoing projects.

More than 50 people attended the workshop.

Summary. This package has almost accomplished its plans, with several personnel visits taking place now and planned for the next autumne. Cooperation with German (Heidelberg, Freiburg) and Slovakian mathematicians (K. Mikula group in Bratislava) developed. It organized several workshops (more than planned, due to a combination with other financing sources). The programme of this package has been accomplished in a close cooperation with ICM (Interdisciplinary Center of Mathematical Modelling of Warsaw University), giving a chance of developing at IMPAN applications of mathematics (in particular numerical methods, PDE's, large scale modelling, complex systems. We are creating now at IMPAN a new center of applications of mathematics.