Title: Near-center derivatives and arithmetic 1-cycles Abstract: Degrees of arithmetic special cycles on Shimura varieties are expected to appear in first derivatives of automorphic forms and L-functions, such as in the Gross--Zagier formula, Kudla's program, and the Arithmetic Gan--Gross--Prasad program. I will explain some “near-central” instances of an arithmetic Siegel--Weil formula from Kudla’s program, which […]