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.