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John Calabrese, Special Colloquium

December 11, 2017 @ 4:00 pm - 5:00 pm

Title: Categorical reconstruction theorems in algebraic geometry

Abstract: A classic theorem of Gabriel states that a variety X may be recovered by Coh(X), its category of coherent sheaves. The latter play a central role in modern algebraic geometry, combining together vector bundles over topological spaces, and modules over rings. I will start by explaining why Gabriel’s theorem should be true and then discuss some generalizations and variants, including connections to birational geometry.


December 11, 2017
4:00 pm - 5:00 pm
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