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Topics to be covered 1. Riemannian Geometry 2. Sub Riemannian Geometry 3. Complex Geometry 4. Heisenberg group from the Geometric point of view 5. PDE tools in Geometry 6. CR Geometry 7. Analysis on Nilmanifolds CR Geometry is a fascinating subject which interconnects Harmonic Analysis and the Theory of Several Complex Variables. Analysis related to CR manifolds have lead to many surprising results including Lewy’s discovery of a PDE with no solution. CR Manifolds arise as real hyper-surfaces in complex manifolds. An interesting feature of CR Manifolds is that the tangent space is determined by fewer number of vectors than the real dimension of the manifold. The "Missing directions" is a feature that lie at the heart of all the interesting properties in CR Geometry and makes the analysis on them more challenging. HOW TO APPLY CR M ANIFOLDS G E O M E T R Y A N D A N A L Y S I S O N Speakers Adimurthi (TIFR CAM) Gautam Bharali (IISc Bangalore) Harish Seshadri (IISc Bangalore) Kaushal Verma (IISc Bangalore) S. Kumaresan (Univ. Hyderabad ) P. K. Ratnakumar (HRI Allahabad) K. Sandeep (TIFR CAM) G. Santhanam (IIT Kanpur) S. Thangavelu (IISc Bangalore) Organisers: P.K. Ratnakumar & Kaushal Verma nnn Go to the website below and fill up the online registration form http://www.hri.res.in/~ageometry/2016/Welcome.html Who can apply: Researchers working in any of the areas of Harmonic Analysis, Differential Geometry, PDE or Several Complex Variables can benefit from this School. Ph. D. students should arrange to send a recommendation letter from their supervisor to [email protected]. HARISH-CHANDRA RESEARCH INSTITUTE-ALLAHABAD Dead line: 15th July 2016 AN INSTRUCTIONAL SCHOOL (10-17 OCTOBER 2016)
