In this note, we state some refinements of conjectures of Gan-Gross-Prasad and Kudla concerning the central derivatives of L-series and special cycles on Shimura varieties. The analogues of our formulation for special values of L-series are written in terms of invariant linear forms on autormorphic representations defined by integrations of matrix coefficients.
|Original language||English (US)|
|Number of pages||8|
|Journal||Science China Mathematics|
|State||Published - Nov 1 2019|
All Science Journal Classification (ASJC) codes
- algebraic cycles
- linear forms