|Joint IAS/Princeton University Number Theory Seminar|
|Topic:||The arithmetic intersection conjecture|
|Affiliation:||University of Maryland/University of Bonn|
|Date:||Thursday, October 19|
|Time/Room:||4:30pm - 5:30pm/Fine 214, Princeton University|
The Gan-Gross-Prasad conjecture relates the non-vanishing of a special value of the derivative of an L-function to the non-triviality of a certain functional on the Chow group of a Shimura variety. Beyond the one-dimensional case, there is little hope for proving this conjecture. I will explain a variant of this conjecture (suggested by Wei Zhang) which seems more accessible and report on progress on it. This is joint work with B. Smithling and W. Zhang.