Theses Doctoral

A Kudla-Rapoport Formula for Exotic Smooth Models of Odd Dimension

Yao, Haodong

In this thesis, we prove a Kudla-Rapoport conjecture for 𝓨-cycles on exotic smooth unitary Rapoport-Zink spaces of odd arithmetic dimension, i.e. the arithmetic intersection numbers for 𝓨-cycles equals the derivatives of local representation density.

We also compare 𝓩-cycles and 𝓨-cycles on these RZ spaces. The method is to relate both geometric and analytic sides to the even dimensional case and reduce the conjecture to the results in \cite{LL22}.


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More About This Work

Academic Units
Thesis Advisors
Li, Chao
Ph.D., Columbia University
Published Here
July 10, 2024