Riemannian Topology and Geometric Structures on Manifolds

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DMS-0623676Santiago SimancaThis proposal requests funding for the organization of the conference"Riemannian Topology and Geometric Structures on Manifolds," to be heldat the University of New Mexico, Albuquerque, Oct. 10-14, 2006. The objective of this meeting is to provide a forum for the discussion ofrecent advances in the areas of positive sectional curvature, Kaehlerand Sasakian geometry, and their interrelation to mathematical physics,especially M and Superstring theory. We intend to create and provide aplatform for the discussion of these fundamental ideas, the growth theyhave experienced in the recent past, and the open problems of interest.The conference plans to unite a range of worldwide experts, members ofthe local group at UNM, and graduate students and young mathematiciansfrom across the country and beyond, to create an interactive environment for the discussion and understanding of advances in these various branches of mathematics and theoretical physics, for the firm grasp of their many recent results, and for the discussion of plaussible approachesto attack a number of interesting open questions. Strong effort is to be made to encourage the participation of mathematicians from all over the nation, and in particular those belonging to the large minority populationof the Rocky mountain area. The impact of this activity is expected to be made long lasting by the prompt dissemination of its results, presentingthe scientific community with the Proceedings of the conference shortlyafter its completion.