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Explore the integrability of the Airy kernel and related concepts in this comprehensive lecture by Sofia Tarricone. Delve into advanced mathematical topics as Tarricone presents her research findings and insights on the subject. Gain a deeper understanding of the Airy kernel's properties, its applications in various fields, and the potential extensions beyond its current scope. Examine the mathematical techniques and methodologies employed in analyzing the integrability of this important kernel function. Discover how this research contributes to the broader field of mathematical physics and its implications for related areas of study. Engage with complex mathematical ideas and theories presented by an expert in the field during this hour-long presentation.