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Explore advanced concepts in stochastic geometry through this 48-minute lecture on variance estimates in the Poisson space. Delve into second-order Poincaré inequalities and their applications in geometric contexts, with a focus on quantitative Central Limit Theorems for strongly stabilizing functionals and fourth-moment theorems for sequences of multiple stochastic integrals. Gain insights from joint research works involving G. Last, M. Schulte, R. Lachièze-Rey, and Ch. Döbler, presented by Giovanni Peccati at the Hausdorff Center for Mathematics.
