The Canon Foundation for Scientific Research.

My basic objective during my research visit was to finish my thesis together with my advisor professor: Augustin Banyaga (Pennsylvania State University, USA). We worked during two months in order to complete my thesis, which we shall submit to the referees for examination. We also found new results that we will submit for publication.

I took advantage of the library of the ICTP and of the scientific environment for discussions with mathematicians in residence and visting mathematicians.

Attended Activities

During the first three weeks of June, I attended the Summer School and Conference on Geometry and Topology of 3-Manifolds. The Poincare conjecture proved. I aslo attended Summer School and Conference on Poisson Geometry. The topic of this conference is very close to my work that is why it was very useful.

Acknowledgement

Many thanks to the mathematics section, ICTP who invited me together with my advisor. I'm also so grateul to the Office of External Activities and the Canon Foundation for supporting my travel fees.

From 10 May to 23 July 2005, the CFSR supported the travel of Alain Musesa Landa, of the Institut de Mathematiques et de Sciences Physiques (IMSP) of the Republic of Benin, to carry out research at the Mathematics group of the ICTP. Alain Musesa Landa produced the following report on his time at the ICTP:

I had a research stay with the Mathematics Group of the Abdus Salam International Centre for Theoretical Physics (ICTP) of Trieste between 10 May and 23 July 2005. This research focused on Invariants of Transversally Oriented Foliations and Confoliations.

the benefits received from various material and electronics resources such as library, internet facilities, etc. offered by the Centre are unquantifiable. Interaction with the members of the Mathematics Group opened up new challenges and gave speed to our work. The guidance I received from my co-supervisor Prof. Augustin Banyaga of the Pennsylvania University who was also here during the same period as me was highly appreciated.

Also, I participated in two summer schools: The summer school and conference on Geometry and Topology of 3-mainfolds and the summer school and conference on Poisson Geometry organized by the Mathematics Group of the ICTP. The knowledge received from the schools is valuable and will be of great help in my future studies.

By the end of August, the thesis shall be submitted for oral examination. The results obtained from the work shall be exploited on our future works.

I thank very much the ICTP Mathematics Group that invited me and my advisor. I also thank the ICTP Office of External Activities and the Canon Foundation to have supported travel costs for me.

From October 22 to December 23, Nigerian student Bashir Ali attended the ICTP Mathematics Group as a visiting scientist. The CFSR supported his travel. Bashir Ali produced the following report on his time at the Abdus Salam centre.

The two month visit I had to the Abdus-Salam ICTP between October 22 and December 23, 2005 is of utmost important to my research work.

As a PhD student of Mathematics at one of the Nigerian universities, I used the visit to begin studies of the current literatures on the Iterative methods for nonlinear equations in Banch space (my area of interest). The required materials for these studies (current journals, books, etc) are not readily available in the university where I am studying.

I was able to use the atmosphere at ICTP (the availability fo research materials such as current journals, books, etc) which is perfectly conductive for research, to get myself acquainted with some of the current literatures. Furthermore, by virtues of this visit, I met some other scientists working in the same area as me, and I had the opportunity to discuss and share ideas with them.

In particular we stayed with Dr. A Udomene, and I really benefitted from our discussions with him. During the visit, I was able to get a lot of help and guidance from my supervisor Professor C.E. Chidume. It is with his guidance that we were able to identify the following problem:

How to construct a scheme for approximating common fixed point of finite family of non-self asymptotically nonexpansive mappings in a uniformly convex Banach space.

I am working currently on this problem. The solution of this problem will very likely be a publishable result if obtained. I am really indebted to the sponsors of this important visit. I am very grateful to ICTP and the ICTP community in general, for their excellent hospitality. I am very very grateful to the Canon Foundation for sponsoring my visit.

A travel grant was awarded to Dr P. S. Raghavan of the Madras Christian College to attend a conference in South Korea in August 2004.

Organisation of the conference

The 10th International Conference on Correlation Analysis in Chemistry was oraganized by the Dong A University and was held at the Marriot Hotels in Busan, South Korea from August 22-27 2004.

Delegates from 15 different countries participated in the proceedings and presented their new research findings in various emerging areas such as structure-activity relationships, spectral properties, substituent effects, solvent and medium effects, macromolecular systems, molecular modeling and reaction mechnaism. About 23 oral presentations in addition to 31 poster presentations marked the event. The conference served as a forum for the exchange of insights among various disciplines to which the principles of correlation analysis is applied.

I, the particpant (Dr P. S Raghavan), presented a research paper entitled 'Nonlinear correlation in phenylhydrazone formation by acetophenone and its deriatives'. This presentation evinced interest among many fellow delegates as this revealed several new concepts. I also benefited from observations and discussions with fellow delegates.

Acknowledgement: Overall, my participation in the Busan conference was very uesful academically. I thank the Canon Foundation for Scientific Research, UK for extending financial support without which none of the above could have been achieved.