GCRF Analysis and PDEs

Analysis and Partial Differential Equations

Imperial College London, UK

supported by EPSRC Global Challenges Research Fund Knowledge Exchange Scheme

The first conference took place on 26-30 September 2016

Organising Committee

Michael Ruzhansky (Chairman) Julio Delgado (Vice-Chairman) Rauan Akylzhanov (PhD student) Thomas Baker (PhD student) Massimiliano Esposito (PhD student) Chiara Taranto (PhD student) Niyaz Tokmagambetov (Academic visitor) Nurgissa Yessirkegenov (PhD student)

Pictures from the event

Conference Venue: Room 139, Huxley Building, Imperial College London Address : Department of Mathematics, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, United Kingdom

Google maps link

The international conference/workshop Analysis and Partial Differential Equations took place during 26-30 September 2016 at Imperial College London. The aim was to bring together experts from developing countries working on topics in analysis in the broad sense, and its applications, among others in the theory of partial differential equations. The event was supported by EPSRC GCRF Knowledge Exchange Scheme and Imperial College London. All are welcome to attend.

The theme of the conference was building up on the following previous EPSRC grants: EP/K039407/1 Quantization on Lie groups EP/G007233/1 Phase Space Analysis of Evolution Equation EP/E062873/1 Asymptotic properties of solutions to hyperbolic equations Some materials: Book: M. Ruzhansky, V. Turunen, Pseudo-Differential Operators and Symmetries, Birkhauser, 2010, 724pp. Link Book: V. Fischer, M. Ruzhansky, Quantization on nilpotent Lie groups. Progress in Mathematics, Vol. 314, Birkhauser, 2016, 557pp. Free to download Book: D. Cruz-Uribe, A. Fiorenza, M. Ruzhansky, J. Wirth, Variable Lebesgue Spaces and Hyperbolic Systems, Advanced Courses in Mathematics – CRM Barcelona, Vol. 27, Birkhauser, 2014. Link

The conference will be followed by a series of small ODA (Official Development Assistance) workshops. The workshops so far include:

Microlocal Day

Analysis ODA week (see also here)

A volume ‘Analysis in Developing Countries’ containing refereed contributions from participants and other mathematicians is planned to appear in Birkhauser/Springer in 2017.

Speakers

Marie Francoise Ouedraogo (Burkina Faso)
Hamidou Toure (Burkina Faso)
Joel Tossa (Benin)
Tsegaye Gedif Ayele (Ethiopia)
Francis Allotey (Ghana) Short biograpy
Emmanuel Essel (Ghana)
Salomon Sambou (Senegal)
Radouan Daher (Morocco)
Alexandra Rodkina (Jamaica)
Mariano Rodriguez Ricard (Cuba)
Pedro J. Mendez-Hernandez (Costa Rica)
Bakhtiyor Kadirkulov (Uzbekistan)
Erkinjon Karimov (Uzbekistan)
Akylbek Kerimbekov (Kyrgyzstan)
Fikret Aliev (Azerbaijan)
Praveen Agarwal (India)
Dinh Nho Hao (Vietnam)
Mohsen Alimohammadi (Iran)
Mohammad Ghaemi (Iran)
Alexandre Kirilov (Brazil)
Juan Carlos Munoz (Colombia)
Jairo Hernandez (Colombia)
Bienvenido Barraza (Colombia)
Duvan Cardona (Colombia)
Carlos Andres Rodriguez (Colombia)
Tynysbek Kalmenov (Kazakhstan)
Baltabek Kanguzhin (Kazakhstan)
Erlan Nursultanov (Kazakhstan)
Mahmud Sadybekov (Kazakhstan)
Durvudkhan Suragan (Kazakhstan)
Niyaz Tokmagambetov (Kazakhstan and Imperial)
Martin Grigoryan (Armenia)
Zhirayr Avetisyan (Armenia and University College London)
Stevan Pilipovic (Serbia)
Ljubica Oparnica (Serbia)
Sanya Konjik (Serbia)
Haihui Wang (China)
Veronique Fischer (University of Bath, UK)
Simon Scott (King’s College, UK)
Rauan Akylzhanov (Imperial College, PhD student)
Chiara Taranto (Imperial College, PhD student)
Nurgissa Yessirkegenov (Imperial College, PhD student)
Massimiliano Esposito (Imperial College, PhD student)
Tom Baker (Imperial College, PhD student)
Julio Delgado (Imperial College)
Michael Ruzhansky (Imperial College)

Some impressions by participants

Dear Professor Michael Ruzhansky, First of all many many congratulation to organized such a wonderful and meaning full conference and given to me an opportunity to become a part of it. Experience of this conference was really very very useful and interesting and it will give me long term benefits. Here, I have mention some very important remarks which show the success story of the conference. 1) In this conference participants participated from around 20 different countries. 2) The topic of the conference is very very interesting and it filled the gap of present demand of the analysis. 3) All the talks session were interesting and very useful not only for young mathematician’s as well as for established mathematicians. The organizers gave minimum 5 min for interaction after every talk as well as gives long tea breaks for meaningful discussions. 4) In the conference, I have learned many new possibilities of development in my research area. 5) During the conference, I mate with different cultures peoples and found many new good friends 6) I have enjoyed the all Coffee break and Conference dinner. 7) This conference gives me an opportunity to create new possibilities that why I have discussed with Professors from UK, Kazakhstan, China, Serbia and Brazil about student and faculty exchange programs. Hope it will be beneficial for my institute and country. In my opinion this conference was very important in scientifically and make a global relationship. I wish to attend this type of conferences in future also. Prof. Praveen Agarwal Head of Department, Department of Mathematics & Coordinator of International Collaboration Cell Anand International College of Engineering, Near Kanota, Agra Road, Jaipur 303012, Rajasthan, INDIA Even though I am working in the area of stochastic equations, I found this conference very interesting. Many talks were generally very interesting. Currently I am teaching Functional Analyses and attending this conference will help me include in my course several contemporary questions, which were discussed at the conference. Also I have started to think about collaboration. For example it could be interesting to consider stochastic equations with fractional derivatives. I also reported about this conference at the department, discuss it with my colleagues. Later I will discuss it with my graduate students. In January 2017 we have a school for graduate students. It would be nice to include some topics from the conference into it. Another useful thing for our graduate students is a visit of some of the participant to UWI and present some results here. I am happy that I was able to present at the conference our research. I hope that this has shown that in Jamaica we are also doing some serious things in mathematics. It can open the door for more visits to our country and extend our international collaboration. Prof. Alexandra Rodkina, Professor of Mathematics, UWI Mona, Kingston, Jamaica The conference ‘Analysis and PDEs’ hosted at Imperial College was an excellent opportunity to acquaint ourselves and discuss maths with scientists from around the world whom we otherwise would probably have no occasion to meet. Mathematics is very special in that it can be (and is being) done on a high level in every corner of the world irrespective of social-economic circumstances. We have seen impressive pieces of work accomplished both at leading UK universities and institutions from developing countries not very well known to the general mathematical society. In fact, this event and the funding scheme behind it inspired me to discuss with an analysis research group in my country the possibility of establishing a collaboration with their colleagues in the UK, and I can report that they were more than interested. Dr. Zhirayr Avetisyan, University College London and Yerevan Physics Institute, Armenia In my opinion, bringing together professional mathematicians from developing countries and giving opportunity to exchange knowledge not only among them, but also building scientific connections with British mathematicians were the key roles of the recent international conference/workshop “Analysis and Partial Differential Equations”, which took place during 26-30 September 2016 at Imperial College London. Nowadays, the number of scientific papers in mathematics have been growing rapidly and it is almost impossible for an individual researcher to follow all the new publications, even in a branch of mathematics, for example in analysis. Moreover, particularly developing countries, such as Kazakhstan, have much difficulty accessing to new publications (and lectures), which requires certain amount of funding in fundamental sciences. For these reason, exchange of new ideas as well as discussions on the conference have given lot of benefits especially to participants from developing countries. Here I also would like to thank the conference organizers, especially the chairman Prof. Michael Ruzhansky, for this amazing useful event. Prof. Tynysbek Kal’menov, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan First I want to thank you for the opportunity to attend this conference. Initiatives like this make Imperial College to be internationally recognized as a leader and reference point for the world’s researchers. I was very happy to attend this conference with researchers from several countries working on really interesting and relevant problems in analysis and PDE. It was a happy combination of young and renowned researchers, which I would never have the opportunity to meet if it were not this conference. The talks addressed problems in active research lines and gave me a very broad overview of what has been done and what are the major problems of the area. I’m sure this was only a first step towards a stronger collaboration with the Imperial College, which will help us to improve the level of mathematics in my country and cooperate in the internationalization of my University. Professor Alexandre Kirilov, Departamento de Matematica – UFPR, Brazil, http://www.ufpr.br/~akirilov This conference encouraged the participants to learn from each other’s different experiences and mathematical approaches to a variety of recent problems arising in operator theory and its applications to the study of PDEs. It promoted the scientific information interchange between overseas participants. Several results and problems presented were new for me, and I learned about them and collected relevant bibliographic references. The conferences were interesting, clear, concise and well-motivated, allowing all participants to be acknowledged with the main mathematical tools to solve the proposed problems. This conference gave me new ideas, mathematical and physical models, and problems to share with colleagues, undergraduate and graduate students in a permanent seminar on evolution PDEs held at the Department of Mathematics, Universidad del Valle, and further with colleagues in other academic institutions in Colombia. In particular, in this weekly seminar we study Sobolev spaces, semigroups, unbounded linear operators, pseudodifferential operators, and nonlinear positive operators defined in cones in a Frechet space, and in a Banach space, together with applications of this theory to the study of existence of solutions of boundary value problems for PDEs. I had the opportunity to establish contact with some participants working in applications close to my research field. This academic interaction could lead in a near future to joint research projects, papers, and/or academic interchange and cooperation between overseas institutions. As I mentioned above, I will talk to my colleagues and students about mathematics and some problems treated in Analysis and PDEs. Furthermore, my participation in the conference allowed me to communicate my research results obtained recently with the support of Colciencias (Grant 1106-712-50006) and Universidad del Valle (C.I. 71045). This is an important communication strategy for my current research project within the framework the research group “Dispersive differential equations and control theory”. At the same time, this activity may strengthen the development of Pure and Applied Mathematics in Colombia. Professor Juan Carlos Muñoz, Department of Mathematics, Universidad del Valle, Colombia Link to the letter Prof. Makhmud Sadybekov, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan Supported by EPSRC Global Challenges Research Fund Knowledge Exchange Scheme and Imperial College London, I had opportunity to visit Imperial College London in September 2016, and participate in the international conference/workshop “Analysis and Partial Differential Equations”, 26-30 September 2016. The overall impression is impressive. The organizers of this conference succeeded to bring together researchers from developing countries worldwide whose work belongs to the field of mathematical analysis and PDE, and to create an inspiring environment for exchanging ideas and knowledge. It was a unique opportunity for me to meet mathematicians from Brazil, China, Colombia, India, Jamaica, Kazakhstan or Kyrgyzstan, but also researchers from UK and Imperial College London, to learn about new advances in the theory, to initiate new collaborations, and to enjoy fruitful discussions. I strongly believe that great benefits from this meeting can be expected, both for participants’ scientific careers and for the future cooperation between our countries and universities. Last, but not the least, I would like to express my gratitude to the organizers of the conference, in particular to professors Michael Ruzhansky and Julio Delgado, for the marvellous job they did and the warm hospitality they provided to all participants and guests. Prof. Sanja Konjik, Department of Mathematics, University of Novi Sad, Serbia For further information please contact Julio Delgado at this e-mail address or Michael Ruzhansky at this e-mail address HOW TO GET TO THE DEPARTMENT OF MATHEMATICS, IMPERIAL COLLEGE LONDON Travel to the tube station Gloucester Road (District, Circle, and Piccadilly Lines). When you exit the station, turn left along Gloucester Road, crossing Cromwell Road 50 meters from the exit. After 4-5 minutes walk along Gloucester Road, turn right to Queen’s Gate Terrace. This is a short road leading directly to the entrance of the Huxley Building, at 180 Queen’s Gate. We are on floor 6.