3 problems

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Arithmetic fundamental lemma for the spherical Hecke algebra
Let $\varphi'\in\mathcal{H}_{K'^{{{{{{{{\flat}}}}}}}}}\otimes\mathcal{H}_{K'}$ , and let…
Conjectureopenarithmetic-fundamental-lemma spherical-hecke-algebra unitary-groupsarXiv posted 2 days ago
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Inhomogeneous arithmetic fundamental lemma for the spherical Hecke algebra
Let $S_{n+1}$ be the relevant symmetric space, let $\mathcal{H}_K$ be its spherical Hecke algebra, and let…
Conjectureopenarithmetic-fundamental-lemma spherical-hecke-algebra symmetric-spacesarXiv posted 2 days ago
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Abundance conjecture for functions with vanishing derivative orbital integrals
Let $G'_{\mathrm{rs},W_1}$ be the open subset of $\operatorname{GL}_n(F)\times\operatorname{GL}_{n+1}(F)$ consisting of regular semisimple elements matching with elements in the no…
Conjectureopenarithmetic-fundamental-lemma orbital-integrals spherical-hecke-algebraarXiv posted 2 days ago

Arithmetic fundamental lemma for the spherical Hecke algebra