|Workshop on Representation Theory and Analysis on Locally Symmetric Spaces|
|Topic:||Admissible heigh pairings of algebraic cycles|
|Date:||Thursday, March 8|
|Time/Room:||11:30am - 12:30pm/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.