Speaker
Seonjeong Park
(Jeonju University)
Description
We define an n-dimensional projective smooth toric variety associated with a triangulation of the (n+2)-gon. Such a toric variety is called of Catalan type. We show that toric varieties of Catalan type are Fano Bott manifolds, and they appear in certain smooth toric Richardson varieties in the flag variety. We also see that toric varieties of Catalan type are classified up to isomorphism in terms of unordered binary trees.
