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Department of Mathematics,
University of California San Diego

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Math 208 - Algebraic Geometry

Harold Blum

University of Utah

Openness of K-stability for Fano varieties

Abstract:

Until recently, it was unclear if there was a natural way to construct (compactified) moduli spaces of Fano varieties. One approach to solving this problem is the K-moduli Conjecture, which predicts that K-polystable Fano varieties of fixed dimension and volume are parametrized by a projective good moduli space. In this talk, I will survey recent progress on this conjecture and discuss a result with Yuchen Liu and Chenyang Xu proving the openness of K-stability (a step in constructing K-moduli spaces).

Host: James McKernan

November 22, 2019

12:45 PM

AP&M 7321

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