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Large N Program Series: Dan Coman, Syracuse University

Title: Equidistribution for sequences of line bundles on normal Kahler spaces
Program Website: Large N limit problems in Kahler Geometry
Speaker: Dan Coman, Syracuse University
Date: Friday, June 05, 2015
Time: 01:00pm – 02:30pm
Place: Seminar Room 313, Simons Center
 

 

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Abstract: We study the asymptotics of Fubini-Study currents and zeros of random holomorphic sections associated to a sequence of singular Hermitian holomorphic line bundles on a compact normal Kahler complex space. This is a generalization of our previous results in two directions: we allow the base space to be singular and we consider sequences (L_p,h_p) of singular Hermitian holomorphic line bundles whose Chern curvature satisfy a natural growth condition, instead of sequences of powers of a fixed line bundle (L,h). The results are joint with Xiaonan Ma and George Marinescu.