# Admissible heigh pairings of algebraic cycles

 Workshop on Representation Theory and Analysis on Locally Symmetric Spaces Topic: Admissible heigh pairings of algebraic cycles Speaker: Shouwu Zhang Affiliation: Princeton University Date: Thursday, March 8 Time/Room: 11:30am - 12:30pm/Simonyi Hall 101 Video Link: https://video.ias.edu/RepTheoryAnalysisLocallySymmetricSpaces/2018/0308-ShouwuZhang

Abstract: For a smooth and projective variety X over a global field of dimension n with an adelic polarization, we propose canonical local and global height pairings for two cycles Y, Z of pure dimension p, q satisfying $p+q=n-1$. We will give some explicit arichmedean local pairings by writing down explicit formula for the diagonal green current for some Shimura varieties.