International Seminar on Automorphic Forms

Daniel Disegni (Aix-Marseille University)

Certain Rankin-Selberg motives of rank n(n+1) are endowed with algebraic cycles arising from maps of unitary Shimura varieties. Gan-Gross-Prasad conjectured that these cycles are analogous to Heegner points, in the sense that their nontriviality should be detected by derivatives of L-functions.
I will propose another nontriviality criterion, based on p-adic L-functions. Under some local conditions, this variant can be established in a refined quantitative form, via the construction and comparison two p-adic relative-trace formulas. (Joint work with Wei Zhang.)

https://tu-darmstadt.zoom.us/j/68048280736