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Eigenfunctions Seminar

Title: Fibrations, holomorphic motions and negative curvature
Speaker: Harish Seshadri (IISc Mathematics)
Date: 21 October 2016
Time: 3:30 – 4:30 pm
Venue: LH-1, Mathematics Department

A classical theorem in Riemannian geometry asserts that products of compact manifolds cannot admit Riemannian metrics with negative sectional curvature. A fibration (or a fibre bundle) is a natural generalization of a product and hence one can ask if a fibration can admit such a metric. This question is still open and I will discuss it in the context of Kahler manifolds. This leads to the study of graphs of holomorphic motions, which originally arose in complex dynamics. I will sketch a proof that the graph cannot be biholomorphic to a ball or more generally, a strongly pseudoconvex domain.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 12 Apr 2024