AIM Workshop — Arithmetic intersection theory on Shimura varieties

This workshop, sponsored by AIM and the NSF, will be devoted to connections between automorphic forms, algebraic cycles, and intersection theory. Many phenomena in automorphic forms have interesting analogues in algebraic or arithmetic geometry. One key example is provided by Kudla and Kudla-Millson’s generating series of special cycles, which are geometric analogues of theta series. Another is the Gan-Gross-Prasad period integral, which also has an arithmetic analogue in terms of intersections of special cycles. The workshop’s goal is to further develop instances of these known analogies, and to explore new ones, involving novel tools like derived algebraic geometry.