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中科院数学与系统科学研究院

数学研究所

  中科院华罗庚数学重点实验室 

 

多复变与复几何学术年活动

Some Topics in Several Complex Variables

 

 

报告人:Prof. Genkai Zhang (University of Gothenburg) 

  目:Weighed Bergman spaces on Siegel-Jacobi spaces:I. Reproducing kernels and analytic continuation, discrete spectrum of  Laplace operators;II. Bilinear-invariant differential operators.

  间:07.21(星期二),09:3011:30

  点:数学院南楼N902

  要:In Part I, I'll study weighted Bergman spaces on the Siegel-Jacobi spaces and  their analytic continuation, finding the corresponding Wallach set. We prove that the  Jacobi-group invariant Laplace operator has positive eigenvalues above the zero eigenvalue (whose eigenspace is the weighted Bergman space). In Part II, I'll find a decomposition of tensor-products of the weighted Bergman spaces and the corresponding Rankin-Cohen brackets, generalizing my earlier work with Lizhong Peng.

 

报告人:Prof. Genkai Zhang (University of Gothenburg)

  目:Trace and Dixmier trace of curvature of infinite-dimensional vector bundles

  间:07.22(星期三),09:3011:30

  点:数学院南楼N902

  要:We construct infinite dimensional vector bundle over the Siegel domain and over the Teichmüller space, and we compute the trace (Dixmier trace) of the curvature operator.

 

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