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Special cycles on orthogonal Shimura varieties

Algebra and Number Theory Seminar

Special cycles on orthogonal Shimura varieties
Series: Algebra and Number Theory Seminar
Location: ENR2 S395
Presenter: Eugenia Rosu, Bonn/U of A

Extending on the work of Kudla-Millson and Yuan-Zhang-Zhang, together with Yott we are constructing special divisors for a specific GSpin Shimura variety. We further construct a generating series that has as coefficients the cohomology classes corresponding to the special divisors classes Z(x, g)_K on the GSpin Shimura variety M_K and show the modularity of the generating series in the cohomology group over C.