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Explore the intricacies of rationality problems in algebraic geometry through this comprehensive lecture by Yuri Tschinkel at #ICBS2024. Delve into the concept of rational algebraic varieties and their birationality to projective space. Examine the well-understood rationality of curves and surfaces over complex numbers, governed by global geometric invariants. Investigate the challenges posed by nonclosed ground fields and higher dimensions. Discover recent geometric ideas and constructions that have emerged in the study of rationality in higher-dimensional algebraic varieties. Gain insights into this complex topic over the course of 1 hour and 3 minutes, presented by BIMSA.
