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math.NT2026
Torsion-vanishing for Siegel modular varieties via supercuspidal congruences
Ana Caraiani, Sug Woo Shin
We prove that the generic part of the cohomology of Siegel modular varieties with torsion coefficients is concentrated above the middle degree, under a suitable notion of genericit…
math.NT2026
Intersection Cohomology of Igusa Stacks
Ana Caraiani, Linus Hamann, Mingjia Zhang
We study the intersection cohomology of minimally compactified Shimura varieties of PEL type AC using Igusa stacks and the work of Fargues-Scholze. More precisely, we construct a s…