Mathematical Sciences: Topology, Analysis and Coarse Geometry of Coverings of Smooth Projective and Quasi Projective Varieties

小行星9305745 该提案涉及与复流形有关的几何问题。 具体来说，调查员将研究一个紧凑的Kaehler流形的覆盖群和覆盖函数理论的不变量之间的相互作用。 这将导致问题的基本群quasiprojective品种。 所述技术和预期结果可应用于代数几何和其他数学领域。

9305745 Ramachandran The proposal is concerned with geometric questions pertaining to complex manifolds. Specifically, the investigator will study an interaction between invariants of the covering group of a compact Kaehler manifold and function theory of the covering. This will lead to questions concerning the fundamental group of quasiprojective varieties. The techniques and expected results may have applications to algebraic geometry and other areas of mathematics.