Speaker:  Keerthi Madapusi Pera (Boston College)

Title:  Derived special cycles on Shimura varieties

Abstract:   We employ methods from derived algebraic geometry to give a uniform moduli-theoretic construction of special cycle classes on many Shimura varieties of Hodge type. Our results apply in particular to classes on GSpin Shimura varieties associated with arbitrary positive semi-definite symmetric matrices, as well as to certain unitary and quaternionic Shimura varieties. We show that these classes agree with the ones constructed in work with B. Howard using K-theoretic methods.

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