• Yen-An Chen, Toric Fano Foliations

    B236-1 IBS, Korea, Republic of
    Algebraic Geometry Seminar

        Speaker Yen-An Chen National Taiwan University In recent years, there are significant developments of the minimal model program for foliated varieties. It is intriguing to ask if Fano foliations form a bounded family. It is anticipated that Borisov-Alexeev-Borisov conjecture also holds in the context of foliations. In this talk, I will discuss the

  • On Slope Unstable Fano varieties

    B236 IBS, Korea, Republic of
    Algebraic Geometry Seminar

        Speaker Yen-An Chen KIAS For Fano varieties, significant progress has been made recently in the study of K-stability, while the understanding of the weaker but more algebraic concept of $(−K)$-slope stability remains intricate. For instance, a conjecture attributed to Iskovskikh states that the tangent bundle of a Picard rank one Fano manifold is