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Explore the geometric problem of embedding closed real manifolds into complex Euclidean spaces as polynomially convex sets in this Mathematics Department Colloquium talk by Rasul Shafikov from Western University Canada. Delve into the importance of polynomial convexity in complex analysis and its relation to approximation theory. Discover how this embedding problem connects to various areas of mathematics, offering a rich blend of geometric insights and analytical techniques. Gain a deeper understanding of the recurrent theme in geometry of embedding manifolds in Euclidean spaces with specific properties, focusing on the challenges and implications of achieving polynomial convexity in complex spaces.
Syllabus
Polynomially convex embeddings of real manifolds in C^n - Rasul Shafikov
Taught by
Stony Brook Mathematics