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March 8: Michael Rapoport (Bonn)

Title: Modularity of generating series of arithmetic divisors on unitary Shimura varieties


Generating series of special cycles on locally symmetric varieties have a long history, starting with the work of Hirzebruch/Zagier on Hilbert-Blumenthal varieties. I will talk about an arithmetic variant which is joint work with J. Bruinier, B. Howard, S. Kudla and T. Yang. We form generating series of special divisors, valued in the Chow group and in the arithmetic Chow group, on the compactified integral model of a Shimura variety associated to a unitary group of signature (n-1, 1), and prove their modularity.

Wednesday, March 08, 4:30 – 5:30 p.m.

Mathematics 520
Tea will be served at 4:00 p.m.

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