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Reconstruction in Algebraic Geometry - Peter Haine

Spring Opportunities Workshop 2023 Topic: Reconstruction in Algebraic Geometry Speaker: Peter Haine Affiliation: IAS Date: January 12, 2023 A classical theorem of Neukirch and Uchida says that number fields are completely determined by their absolute Galois groups. One might wonder about analogous results for algebraic varieties: in what situations can varieties be “reconstructed” from a group or other algebraic invariant? In this talk, we’ll survey different approaches to this question as well as discuss some recent advances from our joint work with Barwick and Glasman.