Wei Zhang's Arithmetic Fundamental Lemma for artinian unitary group elements
Wei Zhang's Arithmetic Fundamental Lemma for artinian unitary group elements
Let be the relevant symmetric space, let be the unitary group attached to the odd hermitian form, and let , , and denote respectively the transfer factor, the derivative of the orbital integral of the characteristic function of , and the intersection number associated with an artinian element . For every element that matches an artinian element , Arithmetic Fundamental Lemma. there is an equality
This is the arithmetic counterpart of the Jacquet–Rallis Fundamental Lemma, relating derivatives of orbital integrals to intersection numbers on relative unitary Rapoport–Zink spaces. The source does not provide a resolution status; the general statement is attributed to Wei Zhang.
Sources & referencesView supporting material
Primary source
Andreas Mihatsch, “Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma”, arXiv:1611.06520 (2019).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.