Scientific talk: “Complex and Kähler Structures”

Science building 607, Byblos campus.

The Computer Science and Mathematics Department in Byblos is organizing a talk entitled "Almost Complex, Complex and Kähler Structures via Spin^c Spinors" conducted by Dr. Roger Nakad.

Abstract:

The aim of this talk is to characterize almost complex, complex, Kähler and some CR structures on manifolds by the existence of Spin^c  structures with special spinor fields, called partially pure or pure spinor fields. Analogous to the situation of parallel or killing spinor fields, the existence of such spinors on a Riemannian Spin^c manifold gives constraints on its geometry and topology. Indeed, we prove that the manifold is foliated or a global Riemannian product.

Speaker Biography:

Dr. Roger Nakad received his Master’s degree in Fundamental Mathematics from the Lebanese University and the University of Paul Verlaine, Metz, France in 2008. He received his Ph.D. in Mathematical Sciences from the University of Henri Poincaré, Nancy, France in 2011. He is currently a postdoctoral researcher at the Max Planck Institute for Mathematics in Bonn, Germany. A differential geometer by training, he has since pursued his interest in differential geometry and its mathematical aspects in theoretical physics. Currently, he is studying the spectrum of the Dirac operator and is working to develop an “Alexandrov type theorem” for hyper-surfaces of special manifolds. Research in this area may have implications for problems in quantum physics and general relativity. Nakad has published several well-regarded papers. He has been invited to lecture in France, Lebanon, Germany, Poland, Greece, Mexico, and Luxembourg, among other places.

All are welcomed to attend.