5 citations · 6 across the 10 of their papers we have counts for
13 papers
Jacquet--Rallis transfer for GL(2)
Andreas Mihatsch, Siddarth Sankaran, Tonghai Yang
We study archimedean smooth transfer for the Jacquet--Rallis relative trace formula comparison, in particular, identities between orbital integrals on GL(n) and its unitary forms.…
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…
Unitary Shimura varieties at ramified primes and arithmetic transfer
Yu Luo, Andreas Mihatsch, Zhiyu Zhang
We consider unitary Shimura varieties at places where the totally real field ramifies over $\mbQ$. Our first result constructs comparison isomorphisms between absolute and relative…
A linear AFL for quaternion algebras
Nuno Hultberg, Andreas Mihatsch
We prove new fundamental lemma and arithmetic fundamental lemma identities for general linear groups over quaternion division algebras. In particular, we verify the transfer conjet…
Arithmetic transfer for inner forms of
Qirui Li, Andreas Mihatsch
We formulate Guo--Jacquet type fundamental lemma conjectures and arithmetic transfer conjectures for inner forms of . Our main results confirm these conjectures for divisi…
On the Linear AFL: The Non-Basic Case
Qirui Li, Andreas Mihatsch
The linear Arithmetic Fundamental Lemma (AFL) conjecture compares intersection numbers on Lubin--Tate deformation spaces with derivatives of orbital integrals. It has been introduc…
-Forms on Lubin--Tate Space
Andreas Mihatsch
We extend Gubler--Künnemann's theory of -forms from algebraic varieties to good Berkovich spaces. This is based on the observation that skeletons in such spaces satisfy a tropic…
On Tropical Intersection Theory
Andreas Mihatsch
We develop a tropical intersection formalism of forms and currents that extends classical tropical intersection theory in two ways. First, it allows to work with arbitrary polytope…
On the Arithmetic Fundamental Lemma conjecture over a general -adic field
Andreas Mihatsch, Wei Zhang
We prove the arithmetic fundamental lemma conjecture over a general -adic field with odd residue cardinality . Our strategy is similar to the one used by the secon…
Local Constancy of Intersection Numbers
Andreas Mihatsch
We prove that, in certain situations, intersection numbers on formal schemes that come in profinite families vary locally constantly in the parameter. To this end, we define the pr…
Relative unitary RZ-spaces and the Arithmetic Fundamental Lemma
Andreas Mihatsch
We verify new cases of the Arithmetic Fundamental Lemma (AFL) of Wei Zhang. This relies on a recursive algorithm which allows, under certain conditions, to reduce the AFL identity…
On the Arithmetic Fundamental Lemma through Lie algebras
Andreas Mihatsch
We prove that the Arithmetic Fundamental Lemma conjecture of Wei Zhang is equivalent to a similar conjecture, but for Lie algebras, in the case of non-degenerate intersection. We u…
An Arithmetic Transfer Identity
Andreas Mihatsch
We prove a variant of the Arithmetic Fundamental Lemma conjecture of Wei Zhang for n=2. More precisely, we consider the deformation lengths of certain quasi-homomorphisms of quasi-…