The interaction of Analysis and Differential Geometry has led to some of the most striking achievements of mathematics during the last few decades. Analytic approaches to problems in Riemannian, pseudo-Riemannian or complex geometry and topology has given rise to very powerful tools in analysis. The development of pseudo differential operators motivated by the index theorem, the existence of solutions to the Monge-Ampère equation and the Calabi conjecture, the Yamabe problem, Eells-Sampson theory and various rigidity results obtained via harmonic maps, the Ricci flow and Perelman’s program for the proof of the Poincaré conjecture are illustrative of the depth and breadth of this field.
The main objectives of the school are:
- To provide an introduction to some current problems in Geometric Analysis for young researchers and postgraduate students and present recent advances and perspectives in these topics for more specialized researchers.
- To promote exchanges and collaborations between mathematicians from Iran and those from neighboring countries and to encourage the establishment of professional relationships and collaborative research between mathematicians from the region and experts from Europe.
Particular attention will be given to graduate and postgraduate students from the region. This event will give them the opportunity to be introduced to some current fields of research and to set up contacts with experts from Europe and elsewhere.