Title: The K-stability and K-moduli of Casagrande-Druel Varieties
Abstract: The notion of K-stability, originally of diffeo-geometric interest, has recently led to a working theory of compact moduli spaces parametrizing K-polystable Fano varieties. Meanwhile, recent attempts to classify higher-dimensional smooth Fano varieties via the Lefschetz defect has led to interest in several different classes of smooth Fano varieties. For Lefschetz defect 2, the relevant class consists of Fano conic bundles called Casagrande-Druel varieties. In this talk, we will show that the K-stability of these Casagrande-Druel varieties is completely determined by lower-dimensional data involved in their construction, and take a look at how this result on K-stability can be upgraded to a comparison of the relevant K-moduli spaces.
Zoom ID: 950 9245 0275
Daniel Mallory
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