Central Limit Theorem for Intersection Currents of Random Holomorphic Sections

par Bin Guo (Chinese Academy of Sciences)

mardi 2 juin 2026, 16:00 → 17:00 Europe/Paris

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In 2010, Shiffman and Zelditch established a fundamental result in random Kähler geometry: the statistics of random zero sets of a single Gaussian holomorphic section obey a Central Limit Theorem (CLT). We generalize this result by proving the CLT for commen zero sets of k independent Gaussian holomorphic sections on compact Kähler manifolds.