The University of Arizona
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Special cycles on unitary Shimura varieties with minuscule parahoric level structure

Algebra and Number Theory Seminar

Special cycles on unitary Shimura varieties with minuscule parahoric level structure
Series: Algebra and Number Theory Seminar
Location: ENR2 S395
Presenter: Sungyoon Cho, University of Arizona

 The Kudla-Rapoport conjecture predicts a relation between the arithmetic intersection numbers of special cycles on the unitary Shimura variety with hyperspecial level structure and the derivative of representation densities for hermitian forms. In this talk, I will give conjectural formulas that relate the arithmetic intersection number of special cycles on unitary Shimura varieties with minuscule parahoric level structure and weightes representation densities. I will also discuss its compatibility with the Kudla-Rapoport conjecture and other known results.