Derived special cycles on Shimura varieties
Keerthi Madapusi (Boston College)
08-Mar-2022, 21:30-22:30 (2 years ago)
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.
algebraic geometrynumber theory
Audience: researchers in the topic
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Organizers: | Edgar Costa*, Siyan Daniel Li-Huerta*, Bjorn Poonen*, David Roe*, Andrew Sutherland*, Robin Zhang*, Wei Zhang*, Shiva Chidambaram* |
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