Geometry | Analysis and Operator Algebras
Invited Lecture 5.2 | 8.2
Complex Brunn–Minkowski theory and positivity of vector bundles
Bo Berndtsson

Abstract: This is a survey of results on positivity of vector bundles, inspired by the Brunn–Minkowski and Prékopa theorems. Applications to complex analysis, Kähler geometry and algebraic geometry are also discussed.

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