3 papers
math.RT2025
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…
math.AG2025
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…
math.AG2015
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…