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Explore the mathematical theory of abelian fibrations in this 49-minute conference talk delivered at the 2025 Annual Meeting of the Simons Collaboration on Moduli of Varieties. Delve into advanced concepts in algebraic geometry as János Kollár presents his research on abelian fibrations, examining their properties, applications, and significance within the broader context of moduli theory. Gain insights into the geometric structures and theoretical frameworks that underpin this specialized area of mathematics, with particular focus on how abelian varieties behave as fibers in geometric constructions. Learn about the latest developments and research directions in this field through expert analysis and mathematical exposition suitable for researchers and advanced graduate students in algebraic geometry and related mathematical disciplines.
