Algebraic Geometry Seminar

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K-moduli of Fano 3-folds

Speaker: Ivan Cheltsov, The University of Edinburgh

Location: Warren Weaver Hall 201

Date: Wednesday, November 20, 2024, 3:30 p.m.

Synopsis:

Smooth Fano 3-folds have been classified by Iskovskikh, Mori and Mukai into 105 deformation families. Recent advances on K-stability allow to construct projective moduli spaces for the 78 families that contain K-polystable smooth members (Kahler-Einstein smooth Fano 3-folds). The points of these K-moduli spaces parametrize K-polystable limits of smooth Fano 3-folds. In my talk I will describe irreducible components of these K-moduli spaces that have small dimensions, and identify singular K-polystable limits of smooth Fano 3-folds in the corresponding deformation families.