研讨班报告

多复变与复几何研讨班:Hole event for random holomorphic sections on compact Riemann surfaces

发布时间:2024-05-24
 

中科院数学与系统科学研究院

数学研究所

中国科学院华罗庚数学重点实验室

学术报告

多复变与复几何研讨班

SCV&CG Seminar

报告人:吴昊 (新加坡国立大学)

 目:Hole event for random holomorphic sections on compact Riemann surfaces

  间:2024.5.28星期二9:30-11:30

 :南楼N913

 Let X be a compact Riemann surface and L be a positive line bundle on it. We study the conditional zero expectation of all the holomorphic sections of Ln which do not vanish on D for some fixed open subset D of X. We prove that as n tends to infinity, the zeros of these sections are equidistributed outside D with respect to some probability measure. This is joint work with Dinh and Ghosh.


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