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Lectures on Polynomial and Rational Convexity:Introduction, basic properties and some applictions - Prof. Nikolay Shcherbina(Bergische Universitat Wuppertal GERMANY)

作者:   来源:  时间:2019-09-12

题目:Lectures on Polynomial and Rational Convexity:

Introduction, basic properties and some applictions

报告人:Prof. Nikolay Shcherbina

(Bergische Universitat Wuppertal GERMANY)

Abstract:

Lectures 1-2: The problem of existence of analytic structure on the polynomial hull. Wermer's example of a compact set with nontrivial hull, but without analytic structure.

Lectures 3-4: Hulls of curves and surfaces. Small sets with large hulls (Rudin's problem) and counterexample of Henkin.

Lectures 5-6: Brief (and unformal) introduction to the Morse theory. Cohomological properties of polynomially convex sets. Proof of the Browder's theorem using plurisubharmonic functions. Solution of the Dirichlet Problem for Levi at graphs.

Lectures 7-8: Applications of polynomial convexity to the study of Kobayashi and Bergman metrics of Model domains and to the solution of the Nishino problem on the structure of pluripolar graphs.

时间:

2019年9月12日(周四)下午15:30-17:30,627教室

2019年9月18日(周三)下午15:30-17:30,913教室

2019年9月25日(周三)下午15:30-17:30,913教室

2019年9月29日(周日)下午15:30-17:30,627教室

地点:首都师范大学本部教二楼

联系人:张利友

 

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