Location
Dates
Presentation
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-Ampére 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.
Administrative and scientific coordinators
Scientific program
Course 1: "Cohomology and Square Integrable Harmonic Forms an Non-Compact Manifolds", Gilles Carron (University of Nantes, France)
Course 2: "The Spectrum of the Hodge-De Rham Laplacian ", Bruno Colbois (University of Neuchâtel, Switzerland)
Course 3: "Heat Kernels and the Riesz Transform", Thierry Coulhon (University of Cergy-Pontoise, France)
Course 4: "Spectral Geometry in Discrete Case. Some Results, Applications and Speculations ", Amir Daneshgar (Sharif University of Technology, Iran)
Course 5: "Heegaard Floer Homology and its Applications ", Eaman Eftekhary (Harvard University, USA)
Course 6: "Spectral Geometry ", Ahmad El Soufi (University of Tours, France)
Course 7: "Hypergeometric Integrals", Michel Jambu (University of Nice, France)
Course 8: "Geometric evolutions via partial differential equations", Régis Monneau (ENPC, France)
Course 9: "The singular Yamabe problem", Frank Pacard (University of Paris XII, France)
Course 10: "Isoperimetric Inequalities, Sobolev Constants and Heat Kernel", Alireza Ranjbar-Motlagh (Sharif University, Tehran, Iran)
Course 11: "Concentration compactness in high dimensions and geometric applications", Tristan Rivière (ETH-Zürich, Switzerland)
Course 12: "Analysis on Symmetric Spaces", Mehrdad Shahshahani (IPM-Tehran, Iran)