Arithmetic intersection theory on Shimura varieties
January 8 to January 12, 2024
at the
American Institute of Mathematics,
Pasadena, California
organized by
Ben Howard,
Chao Li,
Keerthi Madapusi Pera,
and Wei Zhang
Original Announcement
This workshop 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.
The main topics for the workshop are
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Connections between periods of automorphic forms and the arithmetic geometry of Shimura varieties and their function field analogues.
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Modularity results for generating series of algebraic cycles.
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Applications of derived algebraic geometry to intersection theory.
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
A list of open problems.
Workshop videos
