Reconstruction in Algebraic Geometry

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.



Member, School of Mathematics