2024 Theses Doctoral

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

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}.

## Subjects

## Files

- Yao_columbia_0054D_18473.pdf application/pdf 490 KB Download File

## More About This Work

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