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.
Workshop on Representation Theory and Analysis on Locally Symmetric Spaces
Admissible heigh pairings of algebraic cycles
Date & Time
March 08, 2018 | 11:30am – 12:30pm
Simonyi Hall 101