4 papers
Pullback of arithmetic theta series and its modularity for unitary Shimura curves
Qiao He, Yousheng Shi, Tonghai Yang
This paper is a complement of the modularity result of Bruinier, Howard, Kudla, Rapoport and Yang (BHKRY) for the special case not considered there. The main idea to embed…
Gaussian test functions and Jacquet-Rallis transfer
Andreas Mihatsch, Siddarth Sankaran, Tonghai Yang
We construct Gaussian test functions for the general linear side of the Jacquet-Rallis relative trace formula comparison. These are functions which are defined in terms of their or…
Non-vanishing of Ceresa and Gross--Kudla--Schoen cycles associated to modular curves
Matt Kerr, Wanlin Li, Congling Qiu +1
Associated to an algebraic curve , there are two canonically constructed homologically trivial algebraic -cycles, the Ceresa cycle in the Jacobian of , and the Gross-Kudla…
On a Conjecture of Yui and Zagier II
Yingkun Li, Tonghai Yang, Dongxi Ye
Yui and Zagier made some fascinating conjectures on the factorization on the norm of the difference of Weber class invariants based on their…