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Abstract: Recall that an algebraic variety is rational if it is birational to a projective space. In this talk I will review classical results for curves, surfaces, and threefolds, and then I will report on a progress in the last decade. This includes rationality of hypersurfaces, and deformation properties.

We will meet in person and broadcast the talk. For zoom information, please email chris [dot] lutsko [at] rutgers.edu