SFU Number Theory and Algebraic Geometry Seminar: Andrea Petracci

Fano varieties are projective algebraic variety with “positive curvature”. Recently, using the notion of K-stability which originates in differential geometry, projective moduli spaces for Fano varieties have been constructed. In this talk I will show how to use polytopes and toric geometry (which is the study of certain algebraic varieties constructed in a combinatorial fashion) to produce singular points on these moduli spaces of Fano varieties. The talk is based on joint work with Anne-Sophie Kaloghiros.