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Geometry and Topology Seminar: Friday, September 27th

Posted by on Friday, September 27, 2024 in Geometry and Topology Seminar.

Speaker: Garrett Michael Brown (UC Berkeley)

Title: The sign of scalar curvature on Kaehler blowups

Abstract:  In Kaehler geometry there is a compelling interaction between the curvature of the metric and the underlying algebro-geometric structure. One example is that positivity of the scalar curvature forces the the Kodaira dimension to be negative. I will explain a recent resolution to the question of whether positive scalar curvature is preserved under birational transformation of Kaehler surfaces, resulting in a classification.

Contact: Rares Rasdeaconu