Workshop on Representation Theory and Analysis on Locally Symmetric Spaces

Topic: Admissible heigh pairings of algebraic cycles

Speaker: Shouwu Zhang

Affiliation: Princeton University

Date & Time: Thursday March 8th, 2018, 11:30am - 12:30pm

Location: Simonyi Hall 101


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.