2 problems

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Pointwise global Katz–Sarnak conjecture for $\mathcal M_g$ and $\mathcal A_g$
For each prime $l$ , let $v_l(t)$ denote the local factor defined from the trace distribution in $\operatorname{GSp}_{2g}(\mathbb{Z}_l)$ , with $v_p(t)=1$ , and let…
Conjectureopenkatz-sarnak pointwise-convergence trace-distributionsarXiv posted 2 days ago
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Ballini–Lombardo–Verzobio's $L^1$ Katz–Sarnak conjecture for $\mathcal A_g$
Let $g\ge 2$ be an integer. For each prime $l$ , let $v_l(t)$ denote the local factor defined from the trace distribution in $\operatorname{GSp}_{2g}(\mathbb{Z}_l)$ , with $v_p(t)=1$ …
Conjectureopenabelian-varieties katz-sarnak trace-distributionsarXiv posted 2 days ago

Pointwise global Katz–Sarnak conjecture for Mg\mathcal M_gMg​ and Ag\mathcal A_gAg​